1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the liquid capacity of a cylindrical container in gallons. It's essential for determining storage capacity, filling quantities, and liquid measurements in cylindrical tanks or containers.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume in gallons
• \( r \) — Radius of the cylinder in inches
• \( h \) — Height of the cylinder in inches
• \( \pi \) — Mathematical constant (~3.14159)
• 231 — Cubic inches per gallon (conversion factor)

Explanation: The formula calculates the cylindrical volume in cubic inches (πr²h) and converts it to gallons by dividing by 231 cubic inches per gallon.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for industrial storage, chemical processing, fuel management, and any application involving liquid storage in cylindrical containers.

4. Using the Calculator

Tips: Enter radius and height in inches. Both values must be positive numbers. For diameter measurements, divide by 2 to get radius.

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.

Q2: Can I use this for horizontal cylinders?
A: This formula works for vertical cylinders. Horizontal cylinders require a more complex calculation accounting for partial filling.

Q3: What about metric measurements?
A: For metric units (cm and liters), use V = πr²h/1000 (1 liter = 1000 cm³).

Q4: How accurate is this calculation?
A: It's mathematically precise for perfect cylinders. Real-world tanks may have variations due to construction.

Q5: Does this account for tank thickness?
A: No, this calculates internal volume. For external measurements, subtract wall thickness from diameter.