https://file.aiquickdraw.com/mathbot/file/1730235268323pornyae3.jpg

Let's solve the problem step by step.

### Given:
- Volume of the cylinder, \( V = 7218.86 \, \text{m}^3 \)
- Radius, \( r = 11 \, \text{m} \)
- Use \( \pi \approx 3.14 \)
- Find the height, \( h \).

### Formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]

### Step 1: Substitute the known values:
\[
7218.86 = 3.14 \times (11)^2 \times h
\]

### Step 2: Simplify:
\[
11^2 = 121
\]
\[
7218.86 = 3.14 \times 121 \times h
\]
\[
7218.86 = 379.94 \times h
\]

### Step 3: Solve for \( h \):
\[
h = \frac{7218.86}{379.94}
\]
\[
h \approx 19.00 \, \text{m}
\]

### Final Answer:
The height of the cylinder is approximately:
\[
h \approx 19.00 \, \text{meters}
\]

Do you have any questions or need further clarifications?

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Here are 5 related questions you might find interesting:
1. How would the height change if the volume were doubled?
2. What is the surface area of this cylinder?
3. What is the relationship between the volume and the height in a cylinder?
4. How would the height change if the radius were halved?
5. What happens to the volume if both the radius and height are doubled?

**Tip:** In volume problems involving cylinders, it's often useful to rearrange the formula early to solve for the unknown variable.

The volume of this cylinder is 7,218.86 cubic meters. What is the height? Use π ≈ 3.14 and round your answer to the nearest hundredth.

Learn how to find the height of a cylinder with a volume of 7,218.86 cubic meters and a radius of 11 meters. This solution covers geometry concepts, including the volume formula V = πr²h, and shows each step for solving for the height. Suitable for students in Grades 8-10.

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