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An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius 1/2 cm are dropped in the vessel, 25% water is overflowed. The number of balls is :
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- 100
- 400
- 200
- 150
- 100
Correct Option: A
| Volume of concial vessel = | πr²h | |
| 3 |
| = | π × (5)² × 8 | |
| 3 |
| = | cu.cm. = Volume of water | |
| 3 |
| Volume of 25% of water = | × | = | cu.cm. | |||
| 4 | 3 | 3 |
| Volume of ball = | πR³ | |
| 3 |
| = | π × |  |  | ³ | cu.cm. | ||
| 3 | 2 |
| = | cu.cm. | |
| 6 |
| ∴ Number of balls = | = | |||
| 3 | × | = 100 | ||
| 3 | π | |||
| 6 |
