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A hemisphere of iron is melted and recast in the shape of a right circular cylinder of diameter 18 cm and height 162 cm. The radius of the hemisphere is
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- 27 cm
- 9 cm
- 6 cm
- 12 cm
- 27 cm
Correct Option: A
Volume of cylinder = πr²h = (π × 92 × 162) cu.cm.
∴ Volume of hemisphere = (π × 9² × 162) cu. cm.
| ∴ | π × R³ = π × 9² × 162 | |
| 3 |
| ⇒ R³ = | = 9² × 8 × 3 | |
| 2 |
∴ R = ³√ × 9² × 9² × 3;
= 9 × 3 = 27 cm.
