Given:
Let 'r' be the radius of the sphere.
[tex]\text{diameter(d)}=12cm[/tex][tex]\begin{gathered} \text{radius(r)}=\frac{12}{2} \\ r=6cm \end{gathered}[/tex][tex]\begin{gathered} \text{Volume of a sphere=}\frac{4}{3}\pi(r^3) \\ =\frac{4}{3}\pi\times6\times6\times6 \\ =4\pi\times2\times6\times6 \\ =288\pi\text{ cubic centimeter} \end{gathered}[/tex]
1st option is the final answer.
