1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a cylindrical tank in gallons. The formula is derived from the standard geometric formula for cylinder volume, converted to gallons using the conversion factor 231 cubic inches per gallon.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

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

Explanation: The formula first calculates the volume in cubic inches (πr²h), then converts to gallons by dividing by 231.

3. Importance of Volume Calculation

Details: Accurate volume calculation is essential for determining tank capacity, liquid storage requirements, and industrial process planning.

4. Using the Calculator

Tips: Enter radius and height in inches. All values must be valid positive numbers. The calculator will provide the volume in gallons.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 231?
A: 231 is the conversion factor from cubic inches to US gallons (1 gallon = 231 cubic inches).

Q2: Can I use different units?
A: This calculator specifically uses inches. For other units, convert measurements to inches first.

Q3: What if my tank has different dimensions?
A: This calculator is specifically for cylindrical tanks. Other shapes require different formulas.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect cylinders. Real-world tanks may have variations.

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