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What is the volume of this cylinder?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

To find the volume of the cylinder, we use the formula for the volume of a cylinder:

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

where:
- \( r \) is the radius of the base (9 ft),
- \( h \) is the height of the cylinder (10 ft),
- \( \pi \) is approximately 3.14.

### Calculation:

1. First, calculate \( r^2 \):
   \[
   r^2 = 9^2 = 81
   \]

2. Now calculate \( \pi r^2 \):
   \[
   \pi r^2 = 3.14 \times 81 = 254.34
   \]

3. Finally, multiply by the height \( h \):
   \[
   V = 254.34 \times 10 = 2543.4 \, \text{ft}^3
   \]

### The volume of the cylinder is approximately **2543.4 cubic feet**.

Would you like more details on the process or have any questions?

Here are 5 related questions to expand on this concept:
1. How would the volume change if the radius were doubled?
2. What is the surface area of this cylinder?
3. How does the height affect the volume compared to the radius?
4. What would the volume be if the height were halved?
5. How would the volume change if you used a more precise value for \( \pi \) (like 3.14159)?

**Tip:** The volume of a cylinder is directly proportional to both the square of the radius and the height, so small changes in radius can significantly affect the volume.

What is the volume of this cylinder? Use π ≈ 3.14 and round your answer to the nearest hundredth.

Learn how to find the volume of a cylinder with a radius of 9 ft and a height of 10 ft. This step-by-step solution uses the formula V = πr²h, with π ≈ 3.14. The final volume is approximately 2543.4 cubic feet. Suitable for students in Grades 6-8.

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