Explanation Given information: Given figure torus obtained by rotating the circle ( x − a ) 2 + y 2 = b 2 is around y axis Formula used: Volume of cylinder or radius r and height h is π r 2 h . Proof: Consider the below figure where we consider the torus is isomorphic to cylinder after cutting it. So, volume of the below figures is same.

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 6.3, Problem 60E

To determine

To show that the volume of the given torus is 2π2ab2.

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Chapter 6.3, Problem 59E

Chapter 6.3, Problem 61E

Chapter 6 Solutions

Calculus: Early Transcendentals

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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To show that the volume of the given torus is 2 π 2 a b 2 .

Solution Summary: The author explains that the volume of the given torus is 2pi 2ab2.

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To show that the volume of the given torus is 2π2ab2.

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Chapter 6 Solutions