Question

"The function (n) = nrº 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
d. the radius of the basketball when the volume is r

Answer 1

The function V(r) = (4/3)πr³ represents the volume of a basketball when the radius is r.

Step-by-step explanation:

The function V(r) = (4/3)πr³ represents the volume of a basketball when the radius is r.

Using the formula V(r) = (4/3)πr³, we can calculate the volume of air inside a basketball by plugging in the radius of the basketball into the formula.

For example, if the radius of a basketball is 10 inches, we can find the volume of air using V(10) = (4/3)π(10)³ = 4188.79 cubic inches.