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
cm
3
.

1 answer

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 \( r \) 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 back into the volume formula:

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

Next, simplify:

\[ V = \frac{2916}{3} \pi \]

Calculating \( \frac{2916}{3} \):

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

Thus, the volume of the sphere is:

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

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

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