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