We are asked to find the volume of a sphere. Let's remember the formula for the volume of a sphere given the radius "r":
[tex]V=\frac{4}{3}\pi r^3[/tex]Replacing the value of "r = 9cm", we get:
[tex]V=\frac{4}{3}\pi(9\operatorname{cm})^3[/tex]Solving the operations:
[tex]V=\frac{4\pi(729cm^3)}{3}[/tex][tex]V=972\pi^{}\approx3053.6cm^3[/tex]