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A right circular cylinder having diameter 21 cm and height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is
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- 54
- 44
- 36
- 24
- 54
Correct Option: A
Total volume of ice-cream = πr²h
| = π |  |  | ² | × 39 cu.cm. | |
| 2 |
| = | cu.cm. | |
| 2 |
For a cone of ice-cream,
| Volume of cone = | π × | | | ² | × 12 cu.cm. | ||
| 3 | 2 |
| ∴ Volume of hemi–sphere = | π × | | | ³ | cu.cm. | ||
| 3 | 2 |
Total volume of cone–shaped ice cream
| = | | × 12 + | | cu.cm. | |||
| 3 | 4 | 4 |
| = | | 147 + | | cu.cm. | ||
| 3 | 4 |
| = | | | cu.cm. | ||
| 3 | 4 |
| = | × | cu.cm. | ||
| 3 | 4 |
| ∴ Number of cones = | × | = 54 | ||
| 2 | π × 9 |
