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12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is :
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- 2 cm
- 4 cm
- 3 cm
- 3 cm
- 2 cm
Correct Option: B
Volume of cylinder = πr²h = π × (8)² × 2 = 128p cm³ Let the radius of each sphere be r cm.
| ∴ 12 × | πr³ = 128π | |
| 3 |
⇒ 16πr³ = 128π
| ⇒ r³ = | ||
| 16π |
⇒ r = ³√8 = 2 cm
∴ Diameter = 2 × 2 = 4cm
