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A flask in the shape of a right circular cone of height 24 cm is filled with water. The water is poured in right circular cylindrical flask whose radius is 1/3 rd of radius of the base of the circular cone. Then the height of the water in the cylindrical flask is
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- 32 cm
- 24 cm
- 48 cm
- 72 cm
- 32 cm
Correct Option: D
Radius of the base of conical shape = r cm (let)
| Radius of base of cylinder = | cm. | |
| 3 |
| Volume of water = Volume of cone = | πr²h = | πr² × 24 | ||
| 3 | 3 |
= 8πr² cu. cm.
∴ Volume of cylinder = πR²H
| = π × |  |  | ² | H = | cu.cm. | ||
| 3 | 9 |
| ∴ | = 8πr² | |
| 9 |
⇒ H = 9 × 8 = 72 cm
