Question

10 A solid metallic cylinder of radius 14 cm and

height 21 cm is melted and recast into equal
small spheres each of radius 7/2 cm. Find then
number of spheres formed.​

Answer 1

72 spheres are formed

Explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72