Chapter 5.3, Problem 40E

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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 obtained by rotating the region bounded by the given curves about the specified line.

Explanation

**1) Concept:**

The volume of the disk obtained by the revolution about the

**2) Given:**

The region bounded by

**3) Calculation:**

The graph of the region bounded by the given curves is

Find the volume by using the area of disks which are perpendicular to y-axis,

Here, the region is bounded byÂ

We are interested only in positive y and the region is bounded in

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