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A solid metallic right circular cylinder has diameter 32 cm and height 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?
1. 25
2. 12
3. 10
4. 14

1 Answer

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Correct Answer - Option 2 : 12

Given:

Diameter of cylinder = 32cm

Height of cylinder = 9cm

Formula:

Volume of cylinder = πr2h

Volume of sphere = 4/3 × πr3

Calculation:

Radius of cylinder = 32/2 = 16cm

Volume of cylinder = 22/7 × 162 × 9 = 2304π cm3

Volume of sphere = 2304π cm3

Then,

⇒ 2304π = 4/3 × πr3

⇒ r = 12

∴ Radius of sphere is 12cm.

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