SOLUTION: a cones volume is 10000 and its height and diameter are equal whats the height of the cone

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Question 1028443: a cones volume is 10000 and its height and diameter are equal whats the height of the cone
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cone is given by
V+=+%281%2F3%29%28pi%29r%5E2h
Now if h = diameter = 2r, then r = h/2.
So substitute in and get

so that
120000+=+%28pi%29h%5E3
h%5E3+=+120000%2F%28pi%29+=+38197.2
Now take the cube root and get
h = 33.67