Chapter 5.R, Problem 11E

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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 axis.

To determine

**To find:**

The volume of a solid obtained by rotating the region bounded by the given curves about

Explanation

**1) Concept:**

i. If

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

where,Â

**2) Given:**

The region bounded by

The graph of

Solving

Taking square root on both the sides,

Using shell method, find the typical approximating shell with radius

Therefore, the circumference is

From the figure, the limits of integration is from Â

So the total volume is

Use substitution

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