Chapter 5.2, Problem 7E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

*x-*axis

To determine

**To find:**

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

Explanation

**1) Concept:**

i. If the cross section is a washer with the inner radius

ii. The volume of the solid of revolution about the

**2) Given:**

**3) Calculation:**

The region is bounded by

Here, the region is rotated about

A cross section of the solid is thewasher with outer radius

So, its cross sectional area becomes

Here, the region of integration is bounded by

At the point of intersection of both curves

Therefore, the solid lies between

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