Question

# 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:

A

3 cm

B

2 cm

C

3 cm

D

4 cm

Solution

## The correct option is D 4 cm Volume of the cylinder=πr2h=π×82×2=128π cm3  Volume of one sphere=Volume of the cylinder12 ⇒43πr3=12812π⇒r3=8⇒r=2 cm ∴ Diameter of the sphere=4 cm

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