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A solid spherical copper ball, whose diameter is 14 cm, is melted and converted into a wire having diameter equal to 14 cm. The length of the wire is
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- 27 cm
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16 cm 3
- 15 cm
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28 cm 3
- 27 cm
Correct Option: D
Volume of the solid sphere
| = | πr³ | |
| 3 |
| = | π × 7 × 7 × 7 cu.cm. | |
| 3 |
If the length of wire (cylindrical) be h cm, then
| πR²h = | × 7 × 7 × 7 | |
| 3 |
| ⇒ 7 × 7 × h = | × 7 × 7 × 7 | |
| 3 |
| ⇒ h = | cm. | |
| 3 |
