Volume of a sphere is 38808 cm3. Find the ratio of its volume to its surface area

1. Volume of a sphere is 38808 cm3. Find the ratio of its volume to its surface area.

a) 7: 2

b) 21: 1

c) Cannot be determined

d) 7: 1

e) 21: 2

 Sol:

Let the radius of the sphere = ‘r’ cm

So, (4/3) * (22/7) * r3 = 38808

r3 = 9261

r = 21 cm

The ratio of the volume of the sphere to its surface area:

[(4/3) * (22/7) * r3]: [4 * (22/7) * r2]

r: 3 = 21: 3 = 7: 1