   Chapter 9.3, Problem 19E 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

In Exercises 15 to 20, use that fact that r 2 + h 2 = l 2 in a right circular cone (Theorem 9.3.6).Find the length of the slant height l of a right circular cone with r = 6 in., length of altitude h , l = 2 h in.

To determine

To calculate:

The length of the slant height l of the right circular cone.

Explanation

Given:

Consider a right circular cone with radius r=6in and l=2hin.

Formula used:

In a right circular cone r2+h2=l2.

Calculation:

Given, r=6in and l=2hin.

Substitute the known values in the formula,

r2+h2=l262+h2=(2h)236+h2=4h

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