Find a volume of a sphere with a radius of 9 cm Leave your answer in terms of pi

1 answer

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 that value 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 multiply \( \frac{4}{3} \) by \( 729 \):

\[ V = \frac{4 \times 729}{3} \]

Calculating \( 4 \times 729 \):

\[ 4 \times 729 = 2916 \]

Now divide by 3:

\[ \frac{2916}{3} = 972 \]

Thus, the volume of the sphere is:

\[ V = 972 \pi , \text{cm}^3 \]

So the volume of the sphere, in terms of \( \pi \), is:

\[ \boxed{972 \pi} , \text{cm}^3 \]