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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

Verified Answer :

hrio

the volume of the basketball when the radius is r

we know that

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

\(V(x)=\frac{4}{3} \pi x^{3}\)

where

the variable x is the radius of the basketball

so

For \(x=r\)

\(V(r)=\frac{4}{3} \pi r^{3}\)

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