-
A hollow sphere of internal and external diameters 6 cm and 10 cm respectively is melted into a right circular cone of diameter 8 cm. The height of the cone is
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- 22.5 cm
- 23.5 cm
- 24.5 cm
- 25.5 cm
- 22.5 cm
Correct Option: C
| Volume of material of hollow sphere = | π (r1³ - r2³) | |
| 3 |
| = | π (5³ - 3³) | |
| 3 |
| = | π (125 - 27) | |
| 3 |
| = | π × 98 cu.cm. | |
| 3 |
| Volume of cone = | πr²h | |
| 3 |
| = | π × 4² × h | |
| 3 |
| ∴ | π × 16 × h = | × π × 98 | ||
| 3 | 3 |
⇒4h = 98
| ⇒ h = | = 24.5 cm. | |
| 4 |
