In terms of the radius r, what is the volume of a cone whose height is equal to its radius?

Question

Mathematics

Scout

28 June, 05:20

In terms of the radius r, what is the volume of a cone whose height is equal to its radius?

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Answers (1)

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Warren Thornton · Answer 1

V = 1/3πr^3

Step-by-step explanation:

The formula for the volume of a cone is

V = 1/3πr^2h

So if the height equals the radius, we can replace h with r.

V = 1/3πr^2r

Simplify:

V = 1/3πr^3