The formula for the volume \( V \) of a sphere is given by:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
For a sphere with a radius of \( 9 \) cm, we substitute \( r = 9 \) into the formula:
\[ V = \frac{4}{3} \pi (9)^3 \]
First, calculate \( 9^3 \):
\[ 9^3 = 729 \]
Now, substitute \( 729 \) back into the volume formula:
\[ V = \frac{4}{3} \pi (729) \]
Now, perform the multiplication:
\[ V = \frac{4 \times 729}{3} \pi \]
Now, divide \( 4 \times 729 \) by \( 3 \):
\[ 4 \times 729 = 2916 \]
\[ \frac{2916}{3} = 972 \]
Thus, the volume of the sphere is:
\[ V = 972 \pi \text{ cm}^3 \]
So, the volume of the sphere in terms of \(\pi\) is:
\[ \boxed{972\pi} \text{ cm}^3 \]