The volume of the ball (a sphere) is
[tex]V=\frac{4}{3}\pi r^3[/tex]However, half of the sphere is
[tex]V=\frac{2}{3}\pi r^3[/tex]When r = 3, the volume is
[tex]\begin{gathered} V=\frac{2}{3}\times\pi\times3^3 \\ V=\frac{2}{3}\times\pi\times27 \\ V=56.549 \end{gathered}[/tex]Therefore, the answer is 56.549 ft³ (OPTION A)