A right cylinder and a right circular cone have the same

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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 ?

1. 3 : 5
2. 2 : 5
3. 3 : 1
4. 1 : 3

Correct Option: D

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.