Question

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V and five-sevenths represent?

Answer 1

The answer is explained below

Explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) =
`(4)/(3)\pi r^3`, this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

`V((5)/(7) )` is equal to the volume of the ball when the radius of the ball is
`(5)/(7)`. Therefore:

`V((5)/(7) )=(4)/(3) \pi *((5)/(7) )^3=1.53\ unit^3`