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
.
Remaining Attempts : 3

Answer 1

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.

Given that the radius \( r \) is 9 cm, we plug this value into the formula:

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

First, calculate \( 9^3 \):

\[
9^3 = 729
\]

Now substitute that back into the volume formula:

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

Next, multiply \( \frac{4}{3} \) by \( 729 \):

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

Calculating \( 4 \times 729 \):

\[
4 \times 729 = 2916
\]

Now, divide \( 2916 \) by \( 3 \):

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

Thus, the volume of the sphere is:

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

So the answer is:

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