Chapter 5.2, Problem 8E

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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 a solid of revolution about the

**2) Given:**

**3) Calculation:**

The region bounded by

Here, the region is rotated about the

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

So, its cross sectional area becomes

The region of integration is bounded by

At point of intersection of the curve and x-axis,

The solid lies between

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