The volume of the sphere:
[tex]V=2304\pi mm^3[/tex]
If r is the radius of the sphere is r, the volume formula can be expressed as:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Then:
[tex]\begin{gathered} \frac{4}{3}\pi r^3=2304\pi \\ r^3=1728 \\ \Rightarrow r=12 \end{gathered}[/tex]
The diameter is two times the radius, then:
[tex]\begin{gathered} D=2\cdot r \\ \therefore D=24mm \end{gathered}[/tex]
