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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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The diameter of the base of a right circular cone is equal in the length to slant height. If the height of the cone is 6 cm, find the length of the radius of the base.

To determine

To find:

The length of the height of the right circular cone.

Explanation

Formula used:

In a right circular cone, for any right triangle the lengths of the radius r of the base, the altitude h are given by the formula is,

r=htanθ

Given:

The diameter of the base of a right circular cone is equal in the length to slant height. If the height of the cone is 6 cm.

Calculation:

Let us consider right circular cone figure,

The diameter of the base of a right circular cone is equal in the length to slant height.

So, the right circular cone has a triangle is an equilateral triangle.

An equilateral triangle is also equiangular that is all three internal angles are also congruent to each other and are each 60.

Then, the angle formed by the slant height and altitude is 60.

The length of the height is h=6cm

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