108617.1 cubic centimeter of air will be used to inflate 15 basketballs
Explanations:The rocket basketball is spherical in shape
The amount of air that will take to inflate one basketball is the volume of the basketball
The volume, V, of a sphere is given by the formula:
[tex]V\text{ = }\frac{4}{3}^{}\text{ }\pi r^3[/tex]Diameter of the baseball = 24 cm
The radius, r = diameter / 2
r = 24/2
r = 12 cm
[tex]\begin{gathered} \text{V = }\frac{4}{3}\pi r^3 \\ V\text{ = }\frac{4}{3}\times\text{ }\frac{22}{7}\times12^3 \\ V\text{ = }7241.14cm^3 \end{gathered}[/tex]Now, to inflate 15 basketballs:
Volume = 15 x 7241.14
Volume = 108617.1 cubic centimeter