Given that the radius of the sphere is r = 6cm
and we need to find the volume of the sphere. Then,
[tex]Volume\text{ of the sphere=}\frac{4}{3}\pi r^3[/tex]On putting the values wehave
[tex]\begin{gathered} Volume=\frac{4}{3}\times3.14\times6\times6\times6\text{ cm}^3 \\ V=4\times3.14\times2\times6\times6\text{ cm}^3 \\ V=904.32\text{ cm}^3 \end{gathered}[/tex]Hence, the volume of the sphere is 904.32 cubic cm.
So the option A is correct.