Step-by-step explanation
The question wants us to get the volume of the figure
The figure given is a sphere
The volume of a sphere is given by
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zraet4fw93vx9gjz3iextthjo546ibcpwc.png)
where
![r=radius=9cm](https://img.qammunity.org/2023/formulas/mathematics/college/g4b7vodz863aqrp3urnbfdg0t78ci6ydpr.png)
So that if we substitute r =9cm into the formula
![\begin{gathered} V=(4)/(3)*\pi*9^3 \\ \\ V=(4)/(3)*\pi*9cm*9cm*9cm \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3weslxe3qspelaxwikymgus3m97hxjxz87.png)
Simplifying further, we will have
![V=3053.63cm^3](https://img.qammunity.org/2023/formulas/mathematics/college/majx65ahf4l987yjo72xf6h2z5gls4q6pu.png)
Thus, the volume of the sphere is about 3053.63cm³