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1. (Volume of torus) Consider the following shape, called a torus: a, To compute the volume of this torus using the shell method, consider a circle of radius a centered at (b, 0) in the plane. Revolving the region bounded by this circle around the y-axis gives the pictured torus. (a) Set up an integral that will compute the volume of the solid described above. For full credit, you must justify your answer with words. (b) Evaluate the integral from the previous part.

1. (Volume of torus) Consider the following shape, called a torus: a, To compute the volume of this torus using the shell method, consider a circle of radius a centered at (b, 0) in the plane. Revolving the region bounded by this circle around the y-axis gives the pictured torus. (a) Set up an integral that will compute the volume of the solid described above. For full credit, you must justify your answer with words. (b) Evaluate the integral from the previous part.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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1. (Volume of torus) Consider the following shape, called a torus: a, To compute the volume of this torus using the shell method, consider a circle of radius a centered at (b, 0) in the plane. Revolving the region bounded by this circle around the y-axis gives the pictured torus. (a) Set up an integral that will compute the volume of the solid described above. For full credit, you must justify your answer with words. (b) Evaluate the integral from the previous part.
Transcribed Image Text:1. (Volume of torus) Consider the following shape, called a torus: a, To compute the volume of this torus using the shell method, consider a circle of radius a centered at (b, 0) in the plane. Revolving the region bounded by this circle around the y-axis gives the pictured torus. (a) Set up an integral that will compute the volume of the solid described above. For full credit, you must justify your answer with words. (b) Evaluate the integral from the previous part.
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