1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the volume of a cylinder in gallons using the formula V = πr²h/231, where r is the radius, h is the height, 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 multiplying the area of the circular base (πr²) by the height (h), then converts from cubic inches to gallons by dividing by 231.

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in various applications including tank capacity planning, liquid storage measurement, industrial design, and engineering calculations.

4. Using the Calculator

Tips: Enter radius and height in inches. All values must be valid positive numbers. The calculator will automatically compute 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 liquid gallons (1 gallon = 231 cubic inches).

Q2: Can I use different units?
A: This calculator specifically uses inches for input and gallons for output. For other units, you would need to convert them first.

Q3: What if my cylinder has different dimensions?
A: This formula works for right circular cylinders. For other cylinder types, different formulas may be needed.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the inputs. Accuracy depends on the precision of your measurements.

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