Question

Find the volume of the cylinder.
9 m
9 m
Question content area bottom
Part 1
The volume of the cylinder in terms of pi is
  
enter your response here cubic m.
​(Use integers or decimals for any numbers in the expression. Type an exact answer in terms of pi​.)
The volume of the cylinder in terms of is cubic m.(Use integers or decimals for any numbers in the expression. Type an exact answer in terms of .)

Answer 1

To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where \(V\) is the volume, \(r\) is the radius of the cylinder's base, and \(h\) is the height of the cylinder.

From your question, it seems you have a cylinder with a height of 9 m and a diameter of 9 m. First, we need to find the radius:

1. The diameter is 9 m, which means the radius (\(r\)) is half of the diameter:
\[
r = \frac{9}{2} = 4.5 \, \text{m}
\]

2. Now we can plug the values of \(r\) and \(h\) into the volume formula:
\[
V = \pi (4.5)^2 (9)
\]

3. Calculate \( (4.5)^2 \):
\[
(4.5)^2 = 20.25
\]

4. Then multiply by the height:
\[
V = \pi (20.25)(9) = \pi (182.25)
\]

So, the volume of the cylinder in terms of \(\pi\) is:

\[
V = 182.25\pi \, \text{cubic m}
\]

Therefore, the final answer is:

**The volume of the cylinder in terms of pi is** \(182.25\pi\) **cubic m.**