Chapter 15.2, Problem 32E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

**32.** Bounded by the cylinders *x*^{2} + *y*^{2} = *r*^{2} and *y*^{2} + *z*^{2} = *r*^{2}

To determine

**To find:** The volume of the solid that is bounded by the cylinders*.*

Explanation

**Given:**

The function is

The cylinder is,

**Formula used:**

The volume of the solid,

**Calculation:**

The given function can be expressed as
*y* varies from âˆ’*r* and *r* and *x* varies from

First, compute the integral with respect to *x*.

Apply the limit value for *x*,

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