Chapter 5.3, Problem 12E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the *x*-axis.

To determine

**To find:**

The volume generated by rotating the region bounded by the given curves about

Explanation

**1) Concept:**

i. If

ii. By the shell method, the volume of solid by rotating the region under the curve

where,Â

**2) Given:**

The region bounded by

**3) Calculation:**

As the region is bounded by

Therefore, the circumference is

So, the total volume is

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