1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a cylindrical container in gallons using the formula \( V = \frac{\pi r^2 h}{231} \), where r is the radius in inches, h is the height in inches, and 231 is the conversion factor from cubic inches to gallons.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( r \) — Radius in inches
• \( h \) — Height in inches
• \( \pi \) — Mathematical constant (approximately 3.14159)
• 231 — Conversion factor (cubic inches to gallons)

Explanation: The formula calculates the volume of a cylinder by finding the area of the circular base (πr²) and multiplying by the height, then converting from cubic inches to gallons.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for determining liquid capacity in cylindrical containers, tanks, and pipes for various industrial, agricultural, and domestic applications.

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 gallons.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 231?
A: 231 cubic inches equals 1 US liquid gallon, which is the standard conversion factor used in the United States.

Q2: Can I use different units?
A: This calculator specifically uses inches for input and gallons for output. For other units, conversion to inches is required before calculation.

Q3: What if my cylinder has different end shapes?
A: This formula is specifically for right circular cylinders. Other shapes require different volume formulas.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world containers may have slight variations due to manufacturing tolerances.

Q5: Can this be used for any liquid?
A: Yes, the volume calculation is the same regardless of liquid type, though the weight will vary with density.