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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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:

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