SOLUTION: the diameter of a sphere and the base of a cone is equal. what percentage of that diameter must the cones height be so that both volumes are equal?9

Question 1093595: the diameter of a sphere and the base of a cone is equal. what percentage of that diameter must the cones height be so that both volumes are equal?9
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The volume of a sphere of radius is .
The volume of a cone with radius and height is
.
If sphere and cone with same radius have the same volume,
.
That equation simplifies to
} <--> .
So the cone height needs to be twice the diameter.
That is of the diameter.
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