3. A metal cuboid of dimension 22 cm. x 15 cm. x 7.5 cm. was melted and cast into a
cylinder of height 14 cm. What is its radius? 7.5 cm
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3. A metal cuboid of dimension 22 cm. x 15 cm. x 7.5 cm. was melted and cast into a
cylinder of height 14 cm. What is its radius? 7.5 cm
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Answer:
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=2475cm
3
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 =πr
2
h=
7
22
×r
2
×14
∴
7
22
×r
2
×14=2475
⇒r
2
=
22×14
2475×7
=56.25
⇒r=7.5cm