For this problem, we need to convert the radius of the ball from centimeters to inches.
This is done by dividing the radius by 2.54:
[tex]r_{inches}=\frac{9.2}{2.54}=3.62\text{ inches}[/tex]Assuming that both balls are spheres, their volumes are:
[tex]\begin{gathered} V_1=\frac{4}{3}\pi(7.5)^3=1767.15\text{ cubic inches}\\ \\ V_2=\frac{4}{3}\pi(3.62)^3=198.71\text{ cubic inches} \end{gathered}[/tex]The ball with a radius of 7.5 inches has the most volume in cubic inches.
