Chapter 9.3, Problem 43E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is

To determine

**To show:**

The volume of the frustum of the cone is

Explanation

**Given:**

A frustrum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base.

**Formula used:**

The volume of the circular cone is

**Calculation:**

The frustum of the cone is constructed by cutting a smaller circular cone away from the larger cone.

Let *R* and *H* be the radius and height of the larger cone.

Then its volume is

Let *r* and *h* be the radius and height of the smaller cone.

Then its volume is

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