Volume of a sphere
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:
where r is the radius
r = 12 mm
and
π = 3.1416
We can replace it:
![\begin{gathered} V=(4)/(3)\pi r^3 \\ \downarrow \\ V=(4)/(3)\pi\cdot(12\operatorname{mm})^3 \\ \downarrow\text{ since}(12\operatorname{mm})^3=1728\operatorname{mm}^3 \\ V=(4)/(3)\pi\cdot1728\operatorname{mm}^3 \\ \downarrow\text{ since }(4)/(3)\cdot1728=2304 \\ V=2304\pi\operatorname{mm}^3 \\ \downarrow\text{ since }\pi=3.1416 \\ V=7238.2\operatorname{mm}^3 \end{gathered}]()
Answer
Then, the volume is given by
2304π mm³
or
7238.2 mm³