The volume of a hemisphere is
[tex]V=\frac{2}{3}\pi(r)^3[/tex]Where V = 56.549 cubic units.
[tex]\begin{gathered} 56.549=\frac{2}{3}\cdot3.14\cdot(r)^3 \\ 56.549\cdot\frac{3}{2\cdot3.14}=r^3 \\ r\approx\sqrt[33]{27} \\ r\approx3 \end{gathered}[/tex]