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Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm ?
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- 28 minutes 48 seconds
- 51 minutes 12 seconds
- 51 minutes 24 seconds
- 28 minutes 36 seconds
- 28 minutes 48 seconds
Correct Option: A
Volume of water flowing from the pipe in 1 minute = π × 0.25 × 0.25 × 1000 cu.cm.
| Volume of conical vessel = | π × 15 × 15 × 24 cu.cm | |
| 3 |
| ∴ Required time = | = 28 minutes 48 seconds | |
| 3π × 0.25 × 0.25 × 1000 |
