Question

Surface area of a cube is double that of a sphere .Find the ratio of their volumes

Answer 1

Step-by-step explanation:

let radius of sphere= r

SA of sphere =4πr^2

SA of cube =2(4πr^2)

=8πr^2

SA of cube =6a^2

8πr^2=6a^2

a^2= 4/3πr^2

required ratio= volume of the cube

volume of the sphere

=a^3.

4/3πr^3

= 4/3πr^2×a.

4/3πr^3.

=a/r

= a:r