Question

1. A metal cube having an edge 5cm was melted and cast into a cylinder of
height 21 cm. Find its radius.​

Answer 1

Step-by-step explanation:

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=πr

2

h

⇒22×15×7.5=

7

22

⋅r

2

⋅14

⇒2475=22.2.r

2

⇒r

2

=

22.2

2475

⇒r

2

=56.25

⇒r= 56.25

⇒r=7.5

∴ Radius =r=7.5cm.