if a sphere and cone have the same radius and height, how is the volume of the sphere related to the volume to the cone?

Question

Mathematics

Elaina Nielsen

14 October, 11:46

if a sphere and cone have the same radius and height, how is the volume of the sphere related to the volume to the cone?

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Answers (1)

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Ada Rowland · Answer 1

V (sphere) = 4/3 * pi * r^3

heights in a sphere = 2r

v (cone) = 1/3 pi r^2 h

With same height, it would be 1/3 pi r^2 2r = 2/3 pi r^3

4/3 / 2/3 = 2

So the cone is half of the volume of the sphere