Question

the function $v(r) = \frac{4}{3}\pi r^3$ can be used to find the volume of air inside a basketball given its radius. what does $v(r)$ represent?

• the radius of the basketball when the volume is $v$
• the volume of the basketball when the radius is $r$
• the volume of the basketball when the radius is $v$
• the radius of the basketball when the volume is $r$

Explanation:

The notation \(V(r)\) means a function named \(V\) that depends on the input variable \(r\). The problem states the function calculates the volume of air (i.e., the basketball's volume) using the radius \(r\). So \(V(r)\) represents the volume corresponding to a given radius \(r\).

Answer:

the volume of the basketball when the radius is \(r\)