Question

The function v(r)= 4/3 can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

A.the radius of the basketball when the volume is V
B.the volume of the basketball when the radius is r
C.the volume of the basketball when the radius is V
Dthe radius of the basketball when the volume is r

Answer 1

the volume of the basketball when the radius is r

Answer 2

we know that

The function to find the volume of air inside a basketball is equal to find the volume of a sphere

`V(x)=(4)/(3) \pi x^(3)`

where

the variable x is the radius of the basketball

so

For
`x=r`

`V(r)=(4)/(3) \pi r^(3)`

V(r) represent the volume of the basketball when the radius is r

therefore

the answer is the option B

the volume of the basketball when the radius is r