Explanation 1) Concept: The volume of the washer obtained by the revolution about the x -axis is V = ∫ a b π o u t e r r a d i u s 2 - i n n e r r a d i u s 2 d x 2) Given: The region bounded by y 2 - x 2 = 1 , y = 2 , rotated about the x - axis. 3) Calculation: The graph of the region bounded by the given curves is Find the volume of the solid by using the washer method. Here, the region is bounded by y 2 - x 2 = 1 ⇒ y = ± x 2 + 1 a n d y = 2 The outer radius is y = 2 and the inner radius is x 2 + 1 . At intersection of both curves x 2 + 1 = 2 That is x 2 + 1 = 4

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ISBN: 9781305266698

Author: James Stewart

Publisher: Cenage Learning

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Chapter 5.3, Problem 39E

To determine

To find:

The volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

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Chapter 5.3, Problem 38E

Chapter 5.3, Problem 40E

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The volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

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To find: The volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

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Chapter 5 Solutions

To find:

The volume of the solid obtained by rotating the region bounded by the given curves about the specified line.