The diameter of the given sphere is 12cm.
we know that
[tex]\text{Radius r }=\frac{diameter}{2}[/tex]
Substitute diameter=12cm, we get
[tex]\text{Radius r =}\frac{12\operatorname{cm}}{2}=6\operatorname{cm}[/tex]
The volume of the sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex][tex]\text{substitute }\pi=3\text{ and }r=6\text{ as follows.}[/tex]
[tex]V\approx\frac{4}{3}\times3\times6^3[/tex]
[tex]V\approx\frac{4}{3}\times3\times6\times6\times6[/tex]
Dividing 3 by 3 is 1.
[tex]V\approx4\times6\times6\times6[/tex]
Multiplying all the terms, we get the volume of the given sphere.
[tex]V\approx864cm^3[/tex]
