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A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is
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- 2 cm
- 3 cm
- 4 cm
- 6 cm
- 2 cm
Correct Option: B
| Volume of metallic sphere = | πr³ | |
| 3 |
| Volume of metallic sphere = | π × 3 × 3 × 3 | |
| 3 |
= 36π cu.cm.
∴ Volume of cone = 36π cu.cm.
| ⇒ | πR³h = 36π | |
| 3 |
⇒ R²h = 108
⇒ 6 × 6 × h = 108
| &RaRR; h = | = 3 CM. | |
| 6 × 6 |
