Question

A metal cuboid of dimension 22 cm. x 15 cm x 75 cm. was melted and cast into a
cylinder of height 14 cm. What is its radius?​

Answer 1

Step-by-step explanation:

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