   Chapter 9.3, Problem 33E 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

A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid? To determine

To find:

The volume of the resulting solid.

Explanation

Given:

A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in.

Formula used:

The volume of the right circular cone is V=13πr2h.

The volume of the right circular cylinder is V=πr2h.

Calculation:

Let V1 be the volume of the circular cylinder and let V2 be the volume of the right circular cone.

A solid is formed by cutting a conical section away from a right circular cylinder.

The volume of the resulting solid is V=V1V2.

We have, r=6,h=8.

First let us find V1.

V1=πr2h=π(6)28V1=288π

Now find V2

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