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The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is
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- 3 : 1
- 1 : 3
- 6 : 1
- 1 : 6
- 3 : 1
Correct Option: D
Radius of cylinder = r units
Radius of sphere = r/2 units
Let the height of cylinder be h units,
∴ Volume of cylinder = Volume of sphere
| ⇒ πr²h = | π |  |  | ³ | ||
| 3 | 2 |
| ⇒ πr²h = | πr³ | |
| 6 |
| ⇒ h = | r | |
| 6 |
| ⇒ | = | ||
| r | 6 |
