   Chapter 9.3, Problem 30E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Where r is the length of the radius of a sphere, the volume of the sphere is given by V = 4 3 π r 3 . Find the exact volume of the sphere that was formed in Example 5 (b) .

To determine

To find: The exact volume of the solid of revolution formed when the semicircle is rotated.

Explanation

Given:

A semicircular region with radius of length 3 cm is revolved about the diameter.

Formula used:

The volume of the sphere is V=43πr3

Calculation:

When a semicircle is rotated about the diameter, a sphere is formed.

The radius of the sphere is 3 cm.

Therefore the volume is

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