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A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is
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- 18
- 45
- 27
- 54
- 18
Correct Option: D
| Volume of bowl = | πr³ | |
| 3 |
| = | π × 9 × 9 × 9 | |
| 3 |
= 486p cu. cm.
= volume of liquid Volume of 1 bottle = πR³H
| = π × | × | × 4 | ||
| 2 | 2 |
| ∴ Number of bottles = | = 54 | |
| 9π |
