1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a cylindrical tank in gallons using the radius and height measurements in inches. This is particularly useful for industrial and agricultural applications where liquid storage capacity needs to be determined.

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 (approximately 3.14159)
• 231 — Conversion factor (cubic inches to gallons)

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

3. Importance of Tank Volume Calculation

Details: Accurate volume calculation is essential for determining storage capacity, planning liquid quantities, and ensuring proper tank sizing for various applications.

4. Using the Calculator

Tips: Measure the radius and height of your cylindrical tank in inches. Enter these values in the calculator. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

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

Q3: How accurate is this calculation?
A: It's mathematically precise for perfect cylinders. Real-world tanks may have variations due to manufacturing tolerances.

Q4: What if my measurements are in feet?
A: Convert feet to inches first (1 foot = 12 inches) before using the calculator.

Q5: Does this work for metric measurements?
A: No, this specific formula is for inches/gallons. For metric (cm/liters), a different formula would be used.