Question

A cone has radius 9 and height 12. A frustum of this cone has height 4.

What are the radii of the bases of the frustum?

Answer 1

The radii of the bases of the frustum is lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Calculation of the radii of the bases of the frustum:

Since A cone has a radius 9 and a height 12. A frustum of this cone has a height 4.

So here the lower base should be 9

And, the upper base should be

$12\div 8 = 9\div x\\\\3\div 2 = 9\div x$

18 = 3x

x = 6

Therefore, The radii of the bases of the frustum is lower base has a radius of 9 units, and the upper base has a radius of 6 units.

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