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check your calculations for number 3 well

For problem number 3, let's go through the steps to check the calculation.

**Problem 3**:  
*What is the capacity, in gallons, of a wooden storage tank that has an inside diameter of 16'-0" and an inside height of 18'-9"? One cubic foot contains 7.481 gallons.*

### Steps to Solve:
1. **Convert dimensions to feet**:
   - Diameter = 16 feet.
   - Height = 18 feet 9 inches = 18 + 9/12 = 18.75 feet.

2. **Find the radius**:
   \[
   \text{Radius} = \frac{\text{Diameter}}{2} = \frac{16}{2} = 8 \, \text{feet}
   \]

3. **Find the volume of the cylinder (in cubic feet)**:
   The formula for the volume of a cylinder is:
   \[
   V = \pi r^2 h
   \]
   Substituting the values:
   \[
   V = \pi (8^2)(18.75) = \pi (64)(18.75) = 3.1416 \times 1200 = 3769.91 \, \text{cubic feet}
   \]

4. **Convert cubic feet to gallons**:
   Since 1 cubic foot = 7.481 gallons:
   \[
   \text{Gallons} = 3769.91 \times 7.481 = 28,187.27 \, \text{gallons}
   \]

### Answer:
The capacity of the wooden storage tank is **28,187.27 gallons**.

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Would you like more details or have any further questions? Here are some additional related questions:

1. How would the calculation change if the tank height were in meters?
2. How can you find the tank's volume if it had a conical top instead of being a full cylinder?
3. What is the formula for finding the volume of a spherical tank?
4. How many gallons would a tank with double the radius and the same height hold?
5. What is the difference in volume if the height was rounded to 19 feet?

**Tip**: Always double-check unit conversions, especially when mixing inches and feet, as small mistakes can affect your final answer.

What is the capacity, in gallons, of a wooden storage tank that has an inside diameter of 16'-0" and an inside height of 18'-9"? One cubic foot contains 7.481 gallons.

Learn how to calculate the capacity of a wooden storage tank with a 16-foot diameter and 18'9" height in gallons using geometry and unit conversions. Suitable for high school students.

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