12 spheres of the same size are made by melting a solid cylinder of diameter 16 cm and height 2 cm. The diameter of each sphere is:
4 cm
Given diameter of the cylinder = 16 cm ⇒R=8 cm
Volume of the cylinder of radius R and height h
=πR2×h=π×82×2=128π cm3
As this volume is filled into 12 identical spheres, Volume of one sphere=Volume of the cylinder12
Let the radius of the sphere be r
⇒43πr3=12812π⇒r3=8⇒r=2 cm
∴ diameter of the sphere=4 cm