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A solid metallic sphere of radius 3 decimetres is melted to form a circular sheet of 1 milimetre thickness. The diameter of the sheet so formed is
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- 26 metres
- 24 metres
- 12 metres
- 6 metres
- 26 metres
Correct Option: C
| Volume of solid sphere = | πr³ | |
| 3 |
| Volume of solid sphere = | π(0.3)³ cubic metre | |
| 3 |
If the radius of the circular sheet be R, then
Volume of the sheet = πR² × 0.001
| Volume of solid sphere = | π(0.3)³ | |
| 3 |
| R² × 0.001 = | × 0.3 × 0.3 × 0.3 | |
| 3 |
R² = 36 ⇒ R = 6 metres
∴ Diameter = 12 metres
