HURRY PLEASE!!!!!The volume of air inside a rubber ball with radius r can be found using the function v(r) = 4/3 . What does represent?

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


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


that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet


that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

Respuesta :

B.the volume of the rubber ball when the radius equals 5/7 feet 
hope it helps!

Answer:

the volume of the rubber ball when the radius equals [tex]\frac{5}{7}[/tex] feet

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

where

r is the radius of the sphere (rubber ball)

The volume in function notation is equal to

[tex]V(r)=\frac{4}{3} \pi r^{3}[/tex]

in this problem we have

[tex]V(\frac{5}{7})[/tex]

that means

The radius of the rubber ball is

[tex]r=\frac{5}{7}\ ft[/tex]

and

The volume of the rubber ball is

[tex]V(\frac{5}{7})\ ft^{3}[/tex]

therefore

the answer is the option B

the volume of the rubber ball when the radius equals [tex]\frac{5}{7}[/tex] feet

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