   Chapter 9.3, Problem 32E 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 right circular cone has a slant height of 12 ft and a lateral area of 96 π ft 2 . Find its volume.

To determine

To find:

The volume of the right circular cone.

Explanation

Given:

A right circular cone has a slant height of 12 ft and a lateral area of 96π ft2.

Formula used:

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

In right circular cone, r2+h2=l2.

The lateral area of the right circular cone is L=πrl

Calculation:

Given, l=12,L=96π.

Substitute the known values in L=πrl.

L=πrl96π=πr(12)96π12π=rr=8

We know, r2+h2=l2

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