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A cylindrical rod of iron whose height is eight times its radius is melted and cast into spherical balls each of half the radius of the cylinder. The number of such spherical balls is
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- 12
- 16
- 24
- 48
- 12
Correct Option: D
Let the radius of the base of cylinder be r units.
Height = 8r units
Its volume = πr² × 8r = 8πr³ cu.units
| Radius of sphere = | ||
| 2 |
| Volume = | π |  |  | ³ | ||
| 3 | 2 |
| = | cu.unites | |
| 6 |
| ∴ Number of spherical balls = | × 6 = 48 | |
| πr³ |
