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A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?

Correct Answer: 1 : 3

Explanation:

Let the heights of the cylinder and cone be h and H respectively.
∵ πr2h = πr2H / 3
⇒ h/H = 1/3
∴ h : H = 1 : 3.
So their heights are in the ratio 1 : 3.


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