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Question

A metal cuboid of dimension 22 cm × 15 cm × 7.5 cm was melted and cast into a cylinder of height 14 cm. What is its radius

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Solution

Given a metal cuboid of dimension length 22 cm breadth 15 cm and height is 7.5 cm

Then volume of cuboid =22×15×7.5=2475cm3

If we melt this cuboid and cast in the cylinder of height 14cm

Then the volume of cuboid =volume of cylinder

Let r is a radius of a cylinder

Then volume of cylinder =πr2h=227×r2×14

227×r2×14=2475

r2=2475×722×14=56.25

r=7.5cm

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