Chapter 5.3, Problem 34E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Use a graph to estimate the *x*-coordinates of the points of intersection of the given curves. Then use this information and your calculator to estimate the volume of the solid obtained by rotating about the *y*-axis the region enclosed by these curves.

To determine

**To find:**

i.

ii. The volume of the solid

Explanation

**1) Concept:**

Let

By the shell method, the volume of the solid by rotating the region bounded by the curve

where

**2) Given:**

**3) Calculations:**

Given,

First, draw the graph of the given curves.

i. From the graph of the given curves,

The

ii. Also,

Therefore, the height of typical shell is

So, the volume of the solid rotating about

where,

that is,

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