We know that the radius of the sphere will be equal to the radius of the circle:
Since the equation for the volume of the sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]where r is the radius
r = 12 mm
and
π = 3.1416
We can replace it:
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot(12\operatorname{mm})^3 \\ \downarrow\text{ since}(12\operatorname{mm})^3=1728\operatorname{mm}^3 \\ V=\frac{4}{3}\pi\cdot1728\operatorname{mm}^3 \\ \downarrow\text{ since }\frac{4}{3}\cdot1728=2304 \\ V=2304\pi\operatorname{mm}^3 \\ \downarrow\text{ since }\pi=3.1416 \\ V=7238.2\operatorname{mm}^3 \end{gathered}[/tex]Then, the volume is given by
2304π mm³
or
7238.2 mm³
