Question
Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point) it's not 972
Answers
GPT-4o mini
To find the volume \( V \) of a sphere, you can use the formula:
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 9 \) cm, we can substitute it into the formula:
\[
V = \frac{4}{3} \pi (9)^3
\]
Calculating \( 9^3 \):
\[
9^3 = 729
\]
Now substitute back into the volume formula:
\[
V = \frac{4}{3} \pi (729)
\]
Now multiply:
\[
V = \frac{2916}{3} \pi = 972 \pi
\]
So the volume of the sphere is:
\[
\boxed{972\pi} \text{ cm}^3
\]
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere.
Given that the radius \( r = 9 \) cm, we can substitute it into the formula:
\[
V = \frac{4}{3} \pi (9)^3
\]
Calculating \( 9^3 \):
\[
9^3 = 729
\]
Now substitute back into the volume formula:
\[
V = \frac{4}{3} \pi (729)
\]
Now multiply:
\[
V = \frac{2916}{3} \pi = 972 \pi
\]
So the volume of the sphere is:
\[
\boxed{972\pi} \text{ cm}^3
\]