Chapter 5.3, Problem 42E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.

To determine

**To find:**

The volume of the solid generated by rotating the region bounded by the given curves about specific axis by any method.

Explanation

**1) Concept:**

i. If

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

where

**2) Given:**

The region bounded by

**3) Calculation:**

As region is bounded by

Using the shell method,

Radius is

Â From the graph,

Therefore,

So, the total volume is

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