   Chapter 9.3, Problem 21E 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 oblique circular cone has an altitude and a diameter of base that are each of length 6 cm. The line segment joining the vertex to the center of the base is the axis of the cone. What is the length of the axis? To determine

To calculate:

The length of the axis of the cone.

Explanation

Given:

The oblique circular cone has an altitude and a diameter of base that are each of length 6 cm. The line segment joining the vertex to the center of the base is the axis of the cone.

Formula used:

In a right circular cone, r2+h2=l2.

Calculation:

From the figure, it is clear that the axis, radius and altitude form a right triangle.

Let l be the length of the axis, r be the radius and h be the altitude.

From the figure, d=6, h=6

2r=6r=62r=3

We have, r=3 and h=6

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