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A solid metallic spherical ball of diameter 6 cm is melted and recasted into a cone with diameter of the base as 12 cm. The height of the cone is
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- 6 cm
- 2 cm
- 4 cm
- 3 cm
- 6 cm
Correct Option: D
Radius of ball = 3 cm
| Volume of the metallic spherical ball = | × π × (3)³ = 36π cm³ | |
| 3 |
Let h be the height of the cone. Volume of cone = Volume of ball
| ⇒ | × π × 6 × 6 × h = 36π | |
| 3 |
| ⇒ h = | = 3 cm | |
| π × 6 × 6 |
