Final answer:
V(r) = 4\3(π r^3) is the formula to calculate the volume of a sphere, hence it represents the volume of a basketball when given the radius (option c).
Step-by-step explanation:
The function V(r) = 4\3(π r^3) represents the volume of a sphere, which in the context of the question is used to find the volume of air inside a basketball given its radius. Therefore, V(r) corresponds to option (c), which is the volume of a basketball. The expression for the circumference would involve the diameter (or twice the radius) and would look like C = 2πr. The expression for the surface area of a sphere is A = 4πr^2. The diameter is simply twice the radius and would not involve π as part of a formula to calculate it, it would be represented as d = 2r.
The complete question is :
The function V(r) = 4\3(π r^3) can be used to find the volume of air inside a basket ball given its radius. What does V(r) represent : a) The circumference of a basketball
b) The surface area of a basketball
c) The volume of a basketball
d) The diameter of a basketball