Answer:
3053.63 cm^3
Step-by-step explanation:
Volumme of a sphere = [tex]\frac{4}{3}\pi*r^3.[/tex]
We do not have the radius of the sphere, but we have its diameter.
We know that there is a relationship between radius and diameter.
[tex]d = 2r\\r = \frac{d}{2}[/tex]
Then the formula of the volume of a sphere according to its diameter is:
[tex]\frac{4}{3}\pi (\frac{d}{2}) ^ 3\\\\\frac{4}{3}\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\[/tex]