The volume \( V \) of a sphere can be calculated using the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given that the radius \( r \) is 9 cm, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (9)^3 \]
Now calculate \( 9^3 \):
\[ 9^3 = 729 \]
Now, substitute that back into the volume formula:
\[ V = \frac{4}{3} \pi (729) \]
Now, multiply:
\[ V = \frac{4 \times 729}{3} \pi \]
Calculating \( \frac{4 \times 729}{3} \):
\[ 4 \times 729 = 2916 \]
Now divide by 3:
\[ \frac{2916}{3} = 972 \]
Thus, the volume of the sphere is:
\[ V = 972 \pi \text{ cm}^3 \]
So, the volume is \( 972\pi \) cm³.
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