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The respective height and volume of a hemisphere and a right circular cylinder are equal, then the ratio of their radii is
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- 2 : 3
- 3 : 1
- 3 : 2
- 2 : 3
- 2 : 3
Correct Option: C
Let Radius of hemisphere = Height of cylinder = r units
∴ | = 1 | |
Volume of cylinder |
⇒ | πr³h | = 1 ⇒ | = | ||
3 | πr1² | 3 | |||
r1² | r² | 2 | |||
⇒ | = | or √3 : √2 | ||
r1 | √2 |