Question

Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point) The volume is____cm3 .

Answer 1

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:

\[
V = \frac{4}{3} \pi (9)^3
\]

First, calculate \( 9^3 \):

\[
9^3 = 729
\]

Now substitute this value back into the volume formula:

\[
V = \frac{4}{3} \pi (729)
\]
\[
V = \frac{2916}{3} \pi
\]
\[
V = 972 \pi
\]

Therefore, the volume of the sphere is

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