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Calculate Gallons of a Cylinder

Cylinder Volume Formula:

\[ \text{Gallons} = \frac{\pi \times r^2 \times h}{231} \]

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1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a cylinder in US gallons based on its radius and height. This is particularly useful for determining liquid capacity in cylindrical containers.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

\[ \text{Gallons} = \frac{\pi \times r^2 \times h}{231} \]

Where:

Explanation: The formula calculates the volume in cubic inches (πr²h) and converts it to US gallons by dividing by 231 (since 1 US gallon = 231 cubic inches).

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for determining liquid capacity in tanks, pipes, and other cylindrical containers in industries like manufacturing, agriculture, and chemical processing.

4. Using the Calculator

Tips: Enter radius and height in inches. Both values must be positive numbers. The calculator will automatically compute the volume in US gallons.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 231?
A: 231 cubic inches equals 1 US gallon, so this conversion factor gives the volume in standard US gallons.

Q2: Can I use this for metric measurements?
A: No, this calculator is specifically for inches to US gallons. For metric, you would need different conversion factors.

Q3: Does this work for partially filled cylinders?
A: This calculates total volume. For partial fills, you would need to know the fill height and use that as your height value.

Q4: How accurate is this calculation?
A: It's mathematically precise for perfect cylinders. Real-world containers may have variations in shape that affect actual capacity.

Q5: Can I use diameter instead of radius?
A: Yes, but you would need to divide diameter by 2 first since the formula requires radius.

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