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Question

A metallic sphere of radius 15 cm is melted and recast into the shape of a cylinder of radius 15 cm. Find the height of the cylinder.

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Solution

The radius of Metallic sphere is 15 cm
The volume of sphere =43πr3
=43×π×15×15×15
=4500π cm3


The volume of sphere is same as volume of cylinder. Let h be the height of the cylinder.

Volume of cylinder=π×r2×h
π×15×15×h
225πh cm3

According to the given condition,

225πh=4500π

Thus, h=20 cm


So the height of the cylinder is 20 cm

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