Question

If the sphere is inscribed in a cube then the ratio of the volume of the cube to the volume of the sphere is:

Answer 1

Let side of cube be 'a'units

Therefore, diameter of sphere = a

Radius of sphere, r = a/2

Volume of cube/Volume of sphere

=a³/4/3×π×r³

=a³/4/3×22/7×(a/2)³

=a³/4/3×22/7×a³/8

=3×7×8 / 4×22

=21/11

Ratio = 21:11

Answer 2

Answer: 6 : π

Step-by-step explanation:

Let, radius of sphere = r

Side of cube = 2r

Volume of cube = (2r)^3 = 8r^3

Volume of sphere = 4/3 × π × r^3

Ratio = 8r^3 : 4/3 πr^3 = 6 : π

Hope it's helpful...