Question

One sphere has a radius of 5.10 cm; another has a radius of 5.00cm. What is the difference in volume (in cubic centimeters) between the two spheres? The volume of the sphere is (4/3)*pi*r^3, where pi=3.1416. How do you know?

Answer 1

By definition, the volume of a sphere is given by:

`image`

Where,

r: sphere radio

Therefore, the difference between the volume of the two sphere is given by:

`image`

Rewriting we have:

`image`

Substituting values we have:

`image`

Answer:

The difference in volume (in cubic centimeters) between the two spheres is:

`V1 - V2 = 32.05 cm ^ 3`