A metal cylinder of base-radius 4 centimetres and height 10 centimetres is melted and recast into spheres of radius 2 centimetres. How many such spheres are got?

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Solution

Base-radius of the cylinder = 4 cm

Height of the cylinder = 10 cm

Radius of the sphere = 2 cm

Volume of the cylinder = Base area × height

= π × (4 cm)²× 10 cm

= 160π cm³

Volume of the sphere =

Number of spheres =

Therefore, 15 spheres can be made from the given cylinder.

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