Volume by cylindrical shells homework

23-41, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density σ = 4.50 pC/m2.A z axis, with its origin at the hole's center, is perpendicular to the surface Mathematics 116 HWK 8b Solutions §6.2 p463 Problem 43, §6.2, p 463. This problem has been solved! Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about volume by cylindrical shells homework the specified axis. 5th grader sisters. 6/05/14 - §7.3 - Volume: The Cylindrical Shell Method §7.3 - Volume: The Cylindrical Shell Method: Homework 4: Solutions to Quizzes on §§5.8-5.9 and §§7.1 …. In this section, the second of two sections devoted to finding the volume of a solid of revolution, we will look at the method of cylinders/shells to find the volume of the object we get by rotating a region bounded by two curves (one of which may be the x or y-axis) around a …. View Selected Problem Set PDF Video tutorials of detailed solutions to problems similar to those found on the respective homework assignments. The volume of the outer cylinder is X = YZ@ℎwhere r is the radius of the outer cylinder 7.3 Volumes of Revolution: the Shell Method.

Question: Use the method of cylindrical shells to find the volume {eq}V {/eq} generated by rotating the region bounded by the given curves about the y-axis Sep 15, 2016 · 9/15/2016 6.3 Volumes by Cylindrical Shells 1/12 Current Score : 12 / 12 Due : Monday, August 29 2016 11:59 PM EDT 6.3 Volumes by Cylindrical Shells (Homework) Anderson Kemp MATH 1080, section 011, Fall 2016 Instructor: volume by cylindrical shells homework Honghai Xu WebAssign The due date for this assignment is past. Let S be the solid obtained by rotating about the y-axis the region bounded by y = x(x−1)2 and y = 0. Line Charge and Charged Cylindrical Shell. Volume By Cylindrical Shells Homework - describing words to put on a resume - film reviw. This is useful whenever the washer method is too difficult to carry out, usually becuse the inner and ouer radii of the washer are awkward to express.

Sep 06, 2017 · cylinders either. 1.3. I did a problem similar to this (a cone) and didn't have too much trouble, but i'm kind of stumped on this one. Algebra -> Volume-> SOLUTION: Please help me with this Calculus II problem: Use cylindrical shells to find the volume by cylindrical shells homework volume V of the solid. I completely finished the problem but for some reason the answer isn't correct. 1. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves . V = Sketch the region and a typical shell.

Sketch the region and a typical shell I have already drawn the image and have found the radius of each shell to equal y, but I am unsure as to what the height of each shell would be. volume by cylindrical shells volume by cylindrical shells homework homework answers. Volumes by Cylindrical Shells Date_____ Period____ For each problem, use the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is …. Use the method of cylindrical shells to find the Volume V generated by rotating the region bounded by the given curves about the y-axis. Find shell Method course notes, answered questions, and shell Method tutors 24/7. Background Yesterday we used disks and washers to ﬁnd the volume of a solid of revolution. Explain why it is awkward to use slicing to ﬁnd the volume V of S. Important!

WebAssign 6.3 WebAssign Homework (6.3.002ExactVol) Let Sbe the. Volumes by Cylindrical Shells Directions Use the method of cylindrical shells from MAC 2312 at University of Florida. I am also not positive if i would integrate the volume from 12 to 31 or from 0 to 1. If we were rotating about the y-axis (as in part (b)), then the radius would be the same as the bounds, x. V = Sketch the region and a typical shell. Course Hero has thousands of shell Method study resources to help you. Volume by slicing Volume by slicing (V = R b a S(x)dx volume by cylindrical shells homework where your solid is between x = a and Volume by cylindrical shells Finding the answer to the 3rd question of the last slide using slices.

Sketch the region and a typical shell…. Y = 5x^2, y = 30x -10x^2 3 Question: Use The Method Of Cylindrical Shells To Find The Volume V Generated By Rotating The Region Bounded By The Given Curves About The Specified Axis. This is useful whenever the washer method is too difficult to carry out, usually becuse the inner and ouer radii of the washer are awkward to express. The cylindrical shell method Another way to calculate volumes of revolution is th ecylindrical shell method. Hw 7 (6.3): Volumes by Cylindrical Shells (Homework) JAMES,DONGHAN LEE MA volume by cylindrical shells homework 162 Fall 2016, section 261, Fall 2016 Instructor: Colin Ryan Ford TA WebAssign y = 13 e.

Here I'm using two different r's Volumes by Cylindrical Shells Date_____ Period____ For each problem, use the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is …. I have volume by cylindrical shells homework already drawn the image and have found the radius of each shell to equal y, but I am unsure as to what the height of each shell would be. For each of the following problems use the method of cylinders to determine the volume of the solid obtained by rotating the …. question_answer. The question is to find the volume created by rotating the area bounded by y=x 2 and y=32-x 2 about x=4. Before you view the answer …. Favorite Answer. Oct 12, 2008 · Volumes of Revolution - Cylindrical Shells.

By volume cylindrical shells homework

9 years ago. For some types of solid regions decomposing the volume into cylindrical shells may be more convenient Get an answer for 'How compute with cylindrical shells the volume of a sphere of radius r?' and find homework help for other Math questions at eNotes. y = 3e^-x^2, y = 0, x = 0, x = 1 Sketch the region and the typical shell. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by …. Solution..Rewrite each of the videos several times in order to master the material from that section. I volume by cylindrical shells homework am having so many problems with these volume problems, 1 Nov 03, 2010 · If you graph this, you'll only get points above the y-axis forming half of a circle from -r to r. Date: Sep 16, 2019.

(a) Draw and shade the region bounded by y = 5x- …. Homework Equations 2∏ ∫ rh 3. Here’s how such a picture relates to the corresponding cylindrical shell: y x volume by cylindrical shells homework y x cross-sectional view corresponding cylindrical shell Example. When you rotate this graph over the x-axis, you'll get a sphere with infintely small cylindrical shells with a width of dx. I'm stuck on this particular problem mainly because I'm not sure to set it up. We are ready to fulfill any kind of your order concerning writing an volume by cylindrical shells homework answers essay, term paper, dissertation, theses, capstone project, book report and many more Oct 08, 2011 · Homework Statement Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. Recall that each cylindrical shell is a prism with dimensions: (base)(height)(width) = (2πr)(f(x))(dx). Before you view the answer …. Use the method of cylindrical shells to find the Volume V generated by rotating the region bounded by the given curves about the y-axis. 1.3. Section 6-4 : Volume With Cylinders. Volume by Method of Cylindrical Shells.

For the sake of simplicity, it's also called the shell volume by cylindrical shells homework method. I know that for shells, its 2pix*f(x)*dx. [Calc 2] Volume with Cylindrical Shells where x is the exponent. A: Both problems concern finding deriviatives of functions ,using standard rules of differentiation. [Volumes of revolution examples - shells] In the examples which use cylindrical shells, I’ll draw a cross-sectional picture. Example 1.1 – The Torus. The Attempt at a Solution 2∏ ∫ from 1 to 2 (y^2) + 1. For each of the following problems use the method of cylinders to determine the volume of the solid obtained by rotating the ….

Math. Calculus 11 Due Monday Name I. w (delta x) is the width of the reference shell. Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. i am having trouble figuring out what the "x" is for the circumference 3 days ago · I am currently working on a problem in which we use Gauss's Law to find the electric field within an infinitely long cylindrical shell (inner radius r, outer radius R) of {\rho_0}^2 a} {\epsilon_0}$$By the logic that the volume of a cylinder is  2\pi s^2 l  for some length l (even homework-and-exercises electromagnetism. Y = 5x^2, volume by cylindrical shells homework y = 30x -10x^2 3 Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. Homework Part 2 p h. Author: patrickJMT Views: 547K Volume of rotation: cylindrical shells about the y-axis or https://www.youtube.com/watch?v=DQihcRym9Ew Click to view on Bing 12:36 Jan 25, 2013 · Learn how to use the cylindrical shells method to find the volume obtained by rotating the region bounded by given curves around a given axis. 2. 5th grader sisters homework 4 member family with 2 children. View Homework Help - Area and Volume Homework from CALCULUS 11 at Montgomery College. The volume of the outer cylinder is X = YZ@ℎwhere r is the radius of the outer cylinder Now let's find the volume V. Your work can be viewed below, but no changes can be made. 9.7/10 (413) Volume By Cylindrical Shells Homework aknutbiewritet.gq/volume-by-cylindrical-shells-homework.html Volume By Cylindrical Shells Homework, qa etl tester resume, teachers should encourage their students to question everything essay, how to write a resume auto detailing. In this video I show to examples of finding volumes using the method of cylindrical shells. For some types of solid regions decomposing the volume into cylindrical shells may be more convenient Feb 04, 2018 · Jiskha Homework Help. See the answer Nov 30, 2007 · Hello, Use cylindrical shells to find the volume of the solid. Oct 13, 2011 · 1. The attached worksheet has a good review on the theory of determining volumes of solids through the method called "volume by cylindrical shells". Rewrite each of volume by cylindrical shells homework the videos several times in order to master the material from that section. I'm stuck on this particular problem mainly because I'm not sure to set it up. Top Masters Academic Essay Advice Use the shell method to nd the volume of the solid generated by revolving the region bounded by y = 2x 1, y = p x and x = 0 about the y. The result is valid for non-axial cylinders too. Calculus 2. A right circular cone with height 9h and base radius 4r Thanks in a Log On. To generate a tour volume by cylindrical shells homework with radii r and R, consider revolving the circle with equation. I am also not positive if i would integrate the volume from 12 to 31 or from 0 to 1. Mar 12, 2018 · Need help with webassign homework. classwork/homework #2 volume calculations sections 6.1-6.3. Its volume dV is: This approach of finding the volume of revolution by using cylindrical shells is called, well, the method of cylindrical shells. Use the shell method to nd the volume of the solid generated by revolving the region bounded by y = 2x 1, y = p x and x = 0 about the y. Hi is this even possible? UNR. Category Education; Show more Show less. It would be greatly appreciated if someone …. that could have slashed my homework time in half Author: Krista King Views: 95K Calculating A Volume using cylindrical shells method https://answers.yahoo.com/question/index?qid=20110512200230AAAsxy2 May 12, 2011 · I'm having trouble solving my calculus homework mainly because i am having volume by cylindrical shells homework trouble expressing the equation in a way in which I can graph it. We are ready to fulfill any kind of your order concerning writing an volume by cylindrical shells homework answers essay, term paper, dissertation, theses, capstone project, book report and many more Homework 3.3: Volumes using cylindrical shells Where, r = y = sqrt(r^2-x^2). kb. We call them "cylindrical shells". Volumes by Cylindrical shells Example Consider the solid generated by rotating the region between the curve y= p 4 (x 3)2 and the line y= 0 (shown on the left below) about the yaxis.. Any help would be sooo appreciated! Hw 7 (6.3): Volumes by Cylindrical Shells (Homework) JAMES,DONGHAN LEE MA 162 Fall 2016, volume by cylindrical shells homework section 261, Fall 2016 Instructor: Colin Ryan Ford TA WebAssign y = 13 e. Jiskha Homework Help. Lv 7. 5th grader sisters. An infinite line of charge with linear density [\lambda_1 = 6.9 \mu \frac{ C}{ m}] is positioned along the axis of a thick insulating shell of inner radius [a = 2.5 cm] and outer radius [b = 4.8 cm] Where did the (6 − x) come from? FREE Video Solutions Homework Helper – Volumes by Cylindrical Shells 9.99 0.00 FREE ACCESS. 2. Gauss’s law dictates that the net ﬂux through any closed surface is given by the charge volume by cylindrical shells homework enclosed divided by 0 ( 0 = 8.85 × 10−12C2/Nm2).The …. Problem 3 Find the volume of the solid body concluded between two co-axial cylindrical surfaces (Figure 3) of the radii of 8 cm and 4 cm respectively if the common height of the two cylindrical shells is of 10 cm [Calc 2] Volume with Cylindrical Shells where x is the exponent. [AP Calculus BC] Finding volume using cylindrical shells "The region in the first quadrant that is bounded above by the curve y=1/root(x), on the left by the line x=1/4, and below by the line y=1 is revolved about the y-axis to generate a solid Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y= x², x = 2, y=0 Volume = Get more help from Chegg. Oct 13, 2011 · 1. 9.5/10 (492) Solved: Use Cylindrical Shells To Find The Volume Of The S https://www.chegg.com/homework-help/questions-and-answers/use-cylindrical-shells-find Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x- axis. These are a great resource for students looking for a deeper understanding of the material. y= 4x2, y=-2x+6 Homework Equations y= 4x2, y=-2x+6 These 2 equations meet at x= …. World Health Organization Essay Your work can be viewed below, but no changes can be made. y = 7/x, y = 0, x_1 = 1 x_2 = 5 Sketch the region and a typical shell Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y ­axis. In Fig. Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution. By signing up, you'll get. (about x = 1. In this particular problem, we'll rotate volume by cylindrical shells homework about the Author: Krista King Views: 134K 6.3 - 6.3 Volumes by Cylindrical Shells WebAssign 6 https://www.coursehero.com/file/16108953/63 Sep 15, 2016 · 9/15/2016 6.3 Volumes by Cylindrical Shells 1/12 Current Score : 12 / 12 Due : Monday, August 29 2016 11:59 PM EDT 6.3 Volumes by Cylindrical Shells (Homework) Anderson Kemp MATH 1080, section 011, Fall 2016 Instructor: Honghai Xu WebAssign The due date for this assignment is past. x=7+(y-5)^2, x=8 I …. X= (y^2) +1 x= 0 y=1 y=2 2. Homework Statement Using cylindrical shells, find the volume obtained by rotating the region bounded by the given curves about the x-axis. SOLVED! The. Volume of the shell = volume of the outer cylinder ­ volume of the volume by cylindrical shells homework inner cylinder. Feb 16, 2011 · I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half Topics: Volume Homework: Watch videos 11.1-11.3 Qin Deng MAT137 Lecture 10.2 Feburary 7, 2018 1 / 1. Jul 15, 2010 · use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. x=7+(y-5)^2, x=8 I have tried integrating from 0 to … read more. The volume of a cylinder of radius r and height h is Sep 06, 2017 · cylinders either. Using the method of cylindrical shells find the volume. Here is the question (note i do not need to solve the integral, just set up an integral that will solve the problem): Part 1.) Set up an integral to find the volume of the solid obtained by rotating the curve defined by x²+(y-1)²=1 about the y- axis. Volumes of Revolution - Washers and Disks Date_____ Period____ For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved A 6 cm diameter drill bit is used to drill a cylindrical hole through the middle of a sphere of radius 5 cm [Calculus] Finding volume by cylindrical shell method help. or. Sketch the region, the solid, and a typical shell. Example 2.1. Answer to: Using cylindrical shells, show that the volume of a sphere of radius r is V = \frac{4}{3} \pi r^3. Jan 28, 2013 · Learn how to use the cylindrical shells method to find the volume obtained by rotating the region bounded by given curves around a given axis. use the method of cylindrical shells to find the volume generated by rotation volume by cylindrical shells homework the region bounded by x=y^2+1, x=2, about y=-2. The cylindrical shell is reproduced in Fig. Solution Section 6-4 : Volume With Cylinders. 1) A sphere of radius r. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x -axis. Background Yesterday we used disks and washers to ﬁnd the volume of a solid of revolution. 6/05/14 - §7.3 - Volume: The Cylindrical Shell Method §7.3 - Volume: The Cylindrical Shell Method: Homework 4: Solutions to Quizzes on §§5.8-5.9 and §§7.1 …. Work smarter and remember that perfect practice makes perfect! Algebra -> Volume-> SOLUTION: Please help me with this Calculus II problem: Use cylindrical shells to find the volume V of the solid.A right circular cone with height 9h …. SOLVED! Now let's find the volume V. volume by cylindrical shells homework I know that for shells, its 2pix*f(x)*dx. Hi is this even possible? Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. X= (y^2) +1 x= 0 y=1 y=2 2. Oct 18, 2011 · Use the method of cylindrical shells to find the volume V of the volume by cylindrical shells homework solid obtained by rotating the region bounded by the given curves about the x-axis. Then ﬁnd V using cylindrical shells. I used the formula for and drew a semi circle I figured I would need that to do this one. This is in contrast to disc integration which integrates along the axis parallel to the axis of revolution Nov 08, 2019 · Use the method of cylindrical shells to find the volume I am very confused on these two problems and I have homework due in 30 minutes. Example 1.1 – The Torus. Our experts can answer your tough homework and. Topics: Volume by Cylindrical Shells(15 questions), Approximate Integration(14 questions), Arc Length(11 questions), Applications to Physics and Engineering (25 questions), Conic Sections (20 questions), Power Series(15 questions), Representations of Functions as. I recommend memorizing the formulas but also understanding the geometry that leads to the formulas Get an answer for 'y = sqrt(x), x = 0, y = 2 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. We are ready to fulfill any kind of your order concerning writing an volume by cylindrical shells homework answers essay, term paper, dissertation, theses, capstone project, book report and many more. Resume Rabit ↑ 4 Volumes Using Cylindrical Shells - due 4 months ago All «3 5» Calculus II: 4 Volumes Using Cylindrical Shells « All lessons | « 3 Volumes Using Cross Sections 5 Average Value of a Function. volume by cylindrical shells homework answers. Important! For the sake of simplicity, it's also called the shell method. The cylindrical shell method Another way to calculate volumes of revolution is th ecylindrical shell method. Then ﬁnd V using cylindrical shells. volume by cylindrical shells homework answers. y = 3 x^4 y = 0 x = 2. 6.3 Volumes by Cylindrical Shells 2 2. p = average radius of shell h = height dx or dy = thickness ∧x. Use the shell method to nd the volume of the solid generated by revolving the region bounded by y = 2 x2, y = x2 in the rst quadrant about the y-axis 2. 5.3 Volumes by Cylindrical Shells Volume (by Cylindrical Shells) Example 1 Use cylindrical shells to find the volume volume by cylindrical shells homework of the solid generated when the region enclosed between , , , and the …. Explain why it is awkward to use slicing to ﬁnd the volume V of S. By signing up, you'll get thousands. Work smarter and remember that perfect practice makes perfect! For some types of solid regions decomposing the volume into cylindrical shells may be more convenient Apr 29, 2013 · How would I find the volume using cylindrical shells? May 30, 2018 · In this section, the second of two sections devoted to finding the volume of a solid of revolution, we will look at the method of cylinders/shells to volume by cylindrical shells homework find the volume of the object we get by rotating a region bounded by two curves (one of which may be the x or y-axis) around a vertical or horizontal axis of rotation 1. Sketch the region, the solid, and a typical shell. Two common methods for nding the volume of a solid of revolution are the (cross sectional) disk method and the (layers) of shell method of integration Answer to: Use cylindrical shells to find the volume V of a right circular cone with height 7h and base radius 4r. The surface area of these shells is equal to: A = pi * r^2. Let R be the region in the ﬁrst quadrant cut oﬀ by the line 2x + 5y. It would be greatly appreciated if someone …. Add the volumes of. y = 7/x, y = 0, x_1 = 1 x_2 = 5 Sketch the region and a typical shell Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y ­axis. Question: Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the given curves about the {eq}y {/eq}-axis Volumes by Cylindrical shells Example Consider the solid generated by rotating the region between the curve y= p 4 (x 3)2 and the line y= 0 (shown on the left below) about the yaxis. Y volume by cylindrical shells homework = sqrt (x) and y = x^2 rotated about y axis I understand how to solve this using the washer method but how would I solve it using cylindrical shells? Oct 18, 2011 · Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Sep 09, 2010 · The volume of the solid obtained by rotating the region bounded by y=e^x, y=Inx, x=1, and x=2 about the line y-axis can be computed using the method of cylindrical shells. Hi is this even possible? Resume For College Job Y = 4x - x^2, y = x' and find homework. Jul 15, 2010 · use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. But since we are rotating about a line that is parallel. The cylindrical shell is reproduced in Fig. Let S be the solid obtained by rotating about the y-axis the region bounded by y = x(x−1)2 and y = 0. Shell Method, Work, and. Relevance. Well, (6 − x) represents the r (radius) in the circumference part of the formula: C = 2πr. L37 Volume of Solid of Revolution I Disk/Washer and Shell Methods A solid of revolution is a solid swept out by rotating a plane area around some straight line (the axis of revolution). asked by Lexi volume by cylindrical shells homework on February 4, 2018; Calculus 2. The volume of one cylindrical shell is the volume of what would be the cylinder minus the volume of the cylinder in the middle - you can think of it as having removed a core cylinder from a larger one. These are a great resource for students looking for a deeper understanding of the material. View Selected Problem Set PDF Video tutorials of detailed solutions to problems similar to those found on the respective homework assignments. Get an answer for 'How compute with cylindrical shells the volume of a sphere of radius r?' and find homework help volume by cylindrical shells homework for other Math questions at eNotes. The solid looks like the half doughnut shown on the right below below:. The Attempt at a Solution 2∏ ∫ from 1 to 2 (y^2) + 1. Answer Save. Home Work Solutions 3 1. Get an answer for 'y = 4x - x^2, y = 3 Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. x=7+(y-5)^2, x=8 I …. The volume of a cylinder of radius r and height h is Note.The assumption that the cylinders are co-axial is not necessary. Oct 18, 2011 · Use the method of cylindrical shells to find the volume V of volume by cylindrical shells homework the solid obtained by rotating the region bounded by the given curves about the x-axis. Homework Equations 2∏ ∫ rh 3. The volume of one cylindrical shell is the volume of what would be the cylinder minus the volume of the cylinder in the middle - you can think of it as having removed a core cylinder from a larger one. Homework # 2 Solutions 1. School: Using the cylindrical shell method, find the volume of the solid bounded above 7 Pages. UNR. Learn how engineers use calculus to design the perfect plastic bottles 3 days ago · I am currently working on a problem in which we use Gauss's Law to find the electric field within an infinitely long cylindrical shell (inner radius r, outer radius R) of {\rho_0}^2 a} {\epsilon_0}$$ By the logic that the volume of a cylinder is $2\pi s^2 l$ for some length l (even homework-and-exercises electromagnetism.

• (Ctrl + click volume by cylindrical shells homework on link).
• Use the shell method to nd the volume of the solid generated by revolving the region bounded by volume by cylindrical shells homework y = 2 x2, y = x2 in the rst quadrant about the y-axis 2.
• I highly recommend starting with a sketch of the functions involved and drawing in volume by cylindrical shells homework a sample radius!
• Its volume by cylindrical shells homework volume dV is: This approach of finding the volume of revolution by using cylindrical shells is called, well, the method of cylindrical shells.
• Finding volume using cylindrical shells If the volume by cylindrical shells homework approximating rectangle for the region is vertical (so width is x), then V = Z b a (circumference)(height)dx, where circumference and height are in terms of xand a x b.

Sketch the region and a typical shell…. You can also view an interactive video that shows you how to use Maple's powerful Volume by Revolution tutor that will help you with your homework. 3 Answers. X = 8y2, Y ≥ 0, X = 8; About Y = 2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves x=y^(1/2), x=0, and y=4 about the x axis use the method of cylindrical shells to find the volume generated by rotation the region bounded by x=y^2+1, x=2, about y=-2. asked by John on January 31, 2012; Calculus 2. Background Yesterday volume by cylindrical shells homework we used disks and washers to ﬁnd the volume of a solid of revolution. Nov 04, 2010 · Use cylindrical shells to find the volume of a solid torus with radii r and R.? y = 3e^-x^2, y = 0, x = 0, x = 1 Sketch the region and the typical shell. Volumes of Revolution - Washers and Disks Date_____ Period____ For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved A 6 cm diameter drill bit is used to drill a cylindrical hole through the middle of a sphere of radius 5 cm Mathematics 116 HWK 8b Solutions §6.2 p463 Problem 43, §6.2, p 463. View. Homework 3.3: Volumes using cylindrical shells