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Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is
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- 12
- 24
- 48
- 6
- 12
Correct Option: B
| Volume of a right circular cone = | πr²h = | π × (3)² × 4 | 12π cm³ | ||
| 7 | 3 |
| Volume of a solid sphere = | × π × (6)³ = 288 π cm³ | |
| 3 |
Let the number of cones be n .
∴ n × 12π = 288π
| ⇒ n = | = 24 | |
| 12π |
