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Marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and are fully submerged. The dia meter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm ?
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- 50
- 150
- 250
- 350
- 50
Correct Option: B
Volume of raised water in cylindrical beaker
| = πr²h = | × | × | × 5.6 | |||
| 7 | 2 | 2 |
= 215.6 cu.cm.
| Volume of a marble = | πr³ | |
| 3 |
| = | × | × (0.7)³ = | cu.cm. | |||
| 3 | 7 | 3 |
| ∴ Number of marbles = | = | = 150 | |||
| 4.312 | |||||
| 3 | |||||
