Respuesta :

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]