To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given that the radius \( r = 9 \) cm, you can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (9)^3 \]
First, calculate \( 9^3 \):
\[ 9^3 = 729 \]
Now substitute this back into the formula:
\[ V = \frac{4}{3} \pi (729) \]
Now calculate:
\[ V = \frac{2916}{3} \pi \]
\[ V = 972 \pi \]
Now, you can approximate \( \pi \) as \( 3.14 \) to find a numerical value:
\[ V \approx 972 \times 3.14 \approx 3057.68 \text{ cm}^3 \]
Thus, the volume of the sphere is approximately:
\[ V \approx 3057.68 \text{ cm}^3 \]
If using a more accurate value for \( \pi \) (like \( 3.14159 \)), you would get:
\[ V \approx 972 \times 3.14159 \approx 3056.86 \text{ cm}^3 \]
However, the exact volume in terms of \( \pi \) is:
\[ V = 972 \pi \text{ cm}^3 \]