Chapter 9.3, Problem 30E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Where

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

**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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