Chapter 5.3, Problem 7E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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

To determine

**To find:**

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

Explanation

**1) Concept:**

i. If

ii. By 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

Using the shell method, the typical approximating shell with the radius

Therefore, the circumference is

Â that is,

To find the values of

That is,

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