To answer this question we will use the following formula to compute the volume of a sphere:
[tex]Volume=\frac{\pi diameter^3}{6}[/tex]
Recall that an exercise ball is a sphere, since it has a diameter of 60cm, then its volume is:
[tex]Volume=\frac{\pi(60cm)^3}{6}=\frac{\pi *216000cm^3}{6}.[/tex]
Simplifying the above result we get:
[tex]Volume=36000\pi cm^3.[/tex]
Therefore we need 36000π cubic centimeters of air in order to fill the ball.
Answer: 36000π cubic centimeters of air.
