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The problem in the image asks to find the volume of a swimming pool that has a diameter of 24 feet and a height of 5 feet 8 inches. Additionally, it specifies that the pool is 90% full, and there are two ways to solve the problem.

### Steps to Solve:

1. **Convert the Height to Feet:**
   - 5 feet 8 inches = 5 + \( \frac{8}{12} \) feet = 5 + 0.6667 feet = 5.6667 feet.

2. **Find the Radius:**
   - The diameter of the pool is 24 feet, so the radius \( r \) is half of that:
     \[
     r = \frac{24}{2} = 12 \text{ feet}.
     \]

3. **Formula for the Volume of a Cylinder:**
   The formula for the volume of a cylinder is:
   \[
   V = \pi r^2 h
   \]
   where:
   - \( r \) is the radius,
   - \( h \) is the height,
   - \( \pi \) is approximately 3.1416.

4. **Calculate the Total Volume:**
   Using the formula:
   \[
   V = \pi (12)^2 (5.6667) \approx 3.1416 \times 144 \times 5.6667
   \]
   \[
   V \approx 3.1416 \times 815.6088 \approx 2562.898 \text{ cubic feet}.
   \]

5. **Find 90% of the Volume:**
   Since the pool is only 90% full:
   \[
   V_{\text{90\%}} = 0.9 \times 2562.898 \approx 2306.608 \text{ cubic feet}.
   \]

Thus, the volume of the pool when 90% full is approximately **2306.61 cubic feet**.

Would you like further explanation or have any questions about these steps?

### Related Questions:
1. How do you convert feet and inches into just feet?
2. What is the formula for the volume of a cylinder and how is it derived?
3. If the pool were filled to 100%, what would its volume be?
4. How would the volume change if the pool's diameter were doubled but the height remained the same?
5. How can you calculate the water volume in liters or gallons instead of cubic feet?

### Tip:
Always double-check units, especially when converting between feet, inches, and other measurements, to ensure accurate calculations.

A swimming pool has a diameter of 24 feet and a height of 5 feet 8 inches. Find the volume of the pool if it is 90% full.

Learn how to calculate the volume of a swimming pool shaped like a cylinder with a diameter of 24 feet and a height of 5 feet 8 inches. This problem involves using the formula for the volume of a cylinder and converting units to find the total volume when the pool is 90% full. Suitable for Grades 8-10.

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