The ratio of the volume of sphere A to the volume of sphere B is (125)/(64) What is the ratio of the radius of sphere A to the radius of sphere B?

Question

The ratio of the volume of sphere A to the volume of sphere B is
`(125)/(64)`

What is the ratio of the radius of sphere A to the radius of sphere B?

Answer 1

Explanation:

let radius of shere A=R

radius of sphere B=r

`(volume~of~sphere ~A)/(volume~of~sphere~B) =((4)/(3) \pi R^3)/((4)/(3) r^3) =(125)/(64) \\((R)/(r) )^3=((5)/(4) )^3\\(R)/(r) =(5)/(4)`