To determine the volume of a sphere you have to use the following formula:
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
The given sphere has a radius with a length of 8cm, replace the formula above with r=8 to determine the volume:
[tex]\begin{gathered} V=\frac{4}{3}\pi(8^3) \\ V=\frac{4}{3}\cdot\pi\cdot512 \\ V=\frac{2048}{3}\pi \\ V\approx2144.66\approx2144.7\operatorname{cm}^3 \end{gathered}[/tex]
The volume of the sphere is 2144.7cm³
