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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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