Question

Find the volume of the shape. Leave your answer in terms of \(\pi\). You must show all work in
order to receive credit.
Cylender

Answers

Answered by GPT-4o mini
To find the volume of a cylinder, we use the following formula:

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

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

### Step 1: Identify Values
We need the values of the radius and height of the cylinder. Let's denote:
- Radius \( r \)
- Height \( h \)

### Step 2: Substitute Values into the Formula
Once we have the specific values for \( r \) and \( h \), we will substitute them into the volume formula.

### Example Calculation
For example, if the radius \( r = 3 \) units and the height \( h = 5 \) units, then we would calculate:

\[
V = \pi (3)^2 (5)
\]
\[
V = \pi (9) (5)
\]
\[
V = 45\pi
\]

### Conclusion
The volume \( V \) of the cylinder with radius 3 units and height 5 units is:

\[
V = 45\pi \, \text{cubic units}
\]

### Final Note
Please provide the values of the radius and height of the cylinder if you have them, and we will calculate the volume accordingly.

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