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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

Dimensions of the metal cuboid are

Length =l=22cm

Breadth =b=15cm

Height =h=7.5cm

Height of the cylinder (H)=14cm

Let the radius of the cylinder be r cm

Volume of cuboid = Volume of cylinder

l×b×h=πr2h

22×15×7.5=227r214

2475=22.2.r2

r2=247522.2

r2=56.25

r=56.25

r=7.5

Radius =r=7.5cm.

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