Chapter 5.2, Problem 13E

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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.

To determine

**To find:**

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

Explanation

**1) Concept:**

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

ii. The volume of solid revolution about

**2) Given:**

The region is bounded by

**3) Calculation:**

The region is bounded by

Here, the region is rotated about the line

A cross section of the solid is the washer with the outer radius

So, its cross sectional area is

The region of integration is bounded by

At intersection of these curves

Hence,

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