The formula to find the volume of a sphere is
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \text{ Where V is the volume and} \\ \text{r is the radius of the sphere} \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} r=2.5m \\ \text{ Because} \\ \text{radius }=\frac{\text{ diameter}}{2} \\ \text{radius }=\frac{5m}{2} \\ \text{radius }=2.5m \end{gathered}[/tex][tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi(2.5m)^3 \\ V=\frac{4}{3}\cdot15.625\pi m^3 \\ V=20.83\pi m^3 \\ V\approx65.45m^3 \end{gathered}[/tex]Therefore, the volume of a sphere with a diameter of 5m is 65.45 cubic meters.
