Chapter 5.R, Problem 15E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volumes of the solids obtained by rotating the region bounded by the curves

(a) The

(b) The

(c)

To determine

**a)**

**To find:**

The volume of the solid rotating the region about

Explanation

**1) Concept:**

Let

**2) Given:**

The equations of the curves are

**3) Calculation:**

The equations of curves are

Draw the curves about

The curves

The region between them is the solid of rotation and across section perpendicular to

The cross section in plane

So, find the cross sectional area by subtracting the area of the outer circle from the area of the inner circle, i.e

To determine

**b)**

**To find:**

The volume of a solid rotating the region about

To determine

**c)**

**To find:**

The volume of the solid rotating the region about

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