   Chapter 9.CR, Problem 9CR 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

The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures 7in., what is the length of the slant height?

To determine

To find:

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

Explanation

Formula used:

Pythagorean Theorem:

In a right circular cone, the lengths of the radius r of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem.

l2=r2+h2.

Given:

The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures 7 in.

Calculation:

Let us consider right circular cone figure,

The above figure shown that the side of the right circular cone has a radius is,

r=5in.

Then the height is h=7in.

Also, the slant height is the hypotenuse of a right triangle with legs equal to the lengths of the altitude of the cone and the radius of the base

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