   Chapter 9.3, Problem 32E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# 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

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 