The radius of the sphere is half the diameter. In this case the diameter is 11 cm, then we have:
![r=(11)/(2)=5.5](https://img.qammunity.org/2023/formulas/mathematics/college/sq46o295jt0tm3qt14ig2mm854zbj4orr2.png)
Therefore, the radius of the sphere is 5.5 cm
The volume of the sphere is given by:
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zraet4fw93vx9gjz3iextthjo546ibcpwc.png)
Pluggin the values of pi and the radius we found we have that:
![\begin{gathered} V=(4)/(3)\left(3.14\right)\left(5.5\right)^3 \\ V=696.6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/10d56bxlyg2sepd3tlgqmlmmvdgs5x4bld.png)
Therefore the volume of the sphere is 696.6 cubic cm.