Question

The volume of air inside a rubber ball with radius r can be found using the function v(r)=4/3 πr3 . What does v[5/7] represent?

a. the radius of the rubber ball when the volome equals 5/7 cubic feet
b. the volome of the rubber ball when the radius equals 5/7 feet
c. that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
d. that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

Answer 1

yes B is the correct answer, just took the quiz

Answer 2

we know that

The volume of a sphere (rubber ball) is equal to

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

where

r is the radius of the sphere (rubber ball)

The volume in function notation is equal to

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

in this problem we have

`V((5)/(7))`

that means

The radius of the rubber ball is
`(5)/(7)\ ft`

and

The volume of the rubber ball is
`V((5)/(7))\ ft^(3)`

therefore

the answer is the option B

the volume of the rubber ball when the radius equals
`5/7` feet