The radius and the volume of a right circular cylinder and cone are the same. The ratio of the cylinder's height to the cone's height is

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The radius and the volume of a right circular cylinder and cone are the same. The ratio of the cylinder's height to the cone's height is

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3 : 5

2 : 5

3 : 1

1 : 3

answer is D.

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Detailed Solution

It is given that the radius and the volume of a right circular cylinder and cone are the same.
We know that the volume of the cone is

13 π r 2 h,

where r is the radius of the base and h is the cone's height.
The volume of a cylinder is

π r 2 h,

where r is the radius of the base and h is the cylinder's height.
Let the height of a right circular cone and a right circular cylinder be H cm and h cm respectively.
Since a right circular cylinder and a right circular cone has the same radius and the same volume, therefore we have,