Chapter 5.2, Problem 3E

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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 disc and the radius of the disc is in terms of

ii. The volume of the solid revolution about the

**2) Given:**

The region is bounded by y

**3) Calculation:**

The region is bounded by

Here, the region rotated about the

A cross section of the solid is a disk with radius

So, its cross sectional area becomes

The solid lies between

Therefore, the volume of the solid is

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