In order to determine the volume of the given ball, use the following formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]where
r: radius = diameter/2 = 6 in/2 = 3 in
replace the previous values of the parameter into the formula for V:
[tex]\begin{gathered} V=\frac{4}{3}\pi(3)^3 \\ V=36\pi \end{gathered}[/tex]Hence, the volume of the given ball is 36π in^3