   Chapter 9.3, Problem 36E 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

For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48 π  in 2 , what are the dimensions of the cone?

To determine

To find:

The dimensions of the cone.

Explanation

Given:

For a right circular cone, the slant height has a measure equal to twice that of the radius of the base and the total area of the cone is 48π in2.

Formula used:

The total area of the right circular cone is T=πrl+πr2.

Calculation:

Let l be the slant height of the cone and r be the radius.

The slant height has a measure equal to twice that of the radius of the base.

l=2r

The total area of the cone is 48π in2.

T=πrl+πr248π=πr(2r)+πr248π=2π

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