SOLUTION: A right cone and a right cylinder have the same volume and same radii how many times taller is the cone than the cylinder?

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Question 450765: A right cone and a right cylinder have the same volume and same radii how many times taller is the cone than the cylinder?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let the common volume and radius be equal to V and r, and let the heights of the cone and cylinder be and respectively. Using the area for a cone,




And for a cylinder,



These two are equal, so







Hence, the height of the cone is three times as much as the height of the cylinder.