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If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres.
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- 81
- 41
- 80
- 40
- 81
Correct Option: A
| Volume of metallic cone = | πr²h | |
| 3 |
| = | π × 30 × 30 × 45 cu.cm | |
| 3 |
| Volume of a sphere = | πR³ | |
| 3 |
| = | π × 5 × 5 × 5 | |
| 3 |
| ∴ Required number of spheres = | π × 30 × 30 × 45 | = 81 | |
| 3 | |||
| π × 5 × 5 × 5 | |||
| 3 | |||
