Question
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
. give me right anwser
Answers
Answered by
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 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 that value back into the volume formula:
\[
V = \frac{4}{3} \pi (729)
\]
Next, multiply \( 729 \) by \( \frac{4}{3} \):
\[
V = \frac{4 \times 729}{3} \pi = \frac{2916}{3} \pi = 972 \pi
\]
Thus, the volume of the sphere is:
\[
\boxed{972\pi} \quad \text{cm}^3
\]
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere. Given that the radius 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 that value back into the volume formula:
\[
V = \frac{4}{3} \pi (729)
\]
Next, multiply \( 729 \) by \( \frac{4}{3} \):
\[
V = \frac{4 \times 729}{3} \pi = \frac{2916}{3} \pi = 972 \pi
\]
Thus, the volume of the sphere is:
\[
\boxed{972\pi} \quad \text{cm}^3
\]