   Chapter 9.3, Problem 31E 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

If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100 π  cm 3 , find its lateral area.

To determine

To find:

The lateral area of the right circular cone.

Explanation

Given:

A right circular cone has a circular base with a diameter of length 10 cm and a volume of 100π cm3.

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, d=10.

2r=10r=102r=5

We have, r=5,V=100π.

Substitute the known values in the volume formula,

V=13πr2h100π=13π(5)2h100π=

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