Question

A right circular cylinder just encloses a sphere of radius 14cm. Find .
a. volume of the sphere
b. volume of the cylinder
c) Ratio of the volumes of sphere and cylinder

Answer 1

Step-by-step explanation:

As the cylinder encloses the sphere,

Height of the cylinder = Diameter of the sphere.

Let the radius of the sphere be R units.

a. Volume of the sphere = 4/3 × Pi × R³

b. Volume of the cylinder = Pi × R² × H

= Pi × R² × 2R = 2 Pi R³

c. Ratio of the volumes = 4/3 Pi R³/2 Pi R³ = 2/3

= 2:3