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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 9.3, Problem 21E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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?

Chapter 9.3, Problem 21E, The oblique circular cone has an altitude and a diameter of base that are each of length 6 cm. The

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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