Answer: We have to calculate the volume of a sphere that has a diameter of 7cm, the formula for volume that we would use is as follows:
![V(r)=(4)/(3)\pi r^3\rightarrow(1)](https://img.qammunity.org/2023/formulas/mathematics/college/z0e6n41l6mmcjugcm5ltqmhalz15qkd42x.png)
Using equation (1) , and substituting the unknowns, the volume is determined, the steps are as follows:
![\begin{gathered} r=7cm \\ \pi=3.14 \\ \\ V(7cm)=(4)/(3)(3.14)(7cm)^3 \\ \\ V(7cm)=1,436.03cm^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ntor86au9nl96s2etwth2e6cu7k7t8slri.png)
The volume is 1436.03 cubic-centimeters.