Answer :
To find the volume of the basketball it is necessary to find the radius of the sphere, you do it by using the formula of the circumference and solving for r:
[tex]\begin{gathered} C=2\pi r \\ r=\frac{C}{2\pi} \end{gathered}[/tex]Replace for the given value and find the radius:
[tex]\begin{gathered} r=\frac{29.5}{2\pi} \\ r=4.7 \end{gathered}[/tex]Now, find the volume of the sphere using the following formula and replacing for the value of the radius:
[tex]\begin{gathered} V=\frac{4}{3}^{}\pi\cdot r^3 \\ V=\frac{4}{3}\pi(4.7)^3 \\ V=434.89\approx435 \end{gathered}[/tex]The volume of the sphere is 435 in^3.