Gallon Volume of a Cylinder Calculator

Cylinder Volume Formula:

\[ V_{gal} = \frac{\pi \times r^2 \times h}{231} \]

Volume (gallons):

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1. What is a Gallon Volume of a Cylinder Calculator?

Definition: This calculator estimates the volume of a cylinder in gallons based on its radius and height measurements in inches.

Purpose: It helps professionals and DIYers determine liquid capacity of cylindrical containers like tanks, barrels, or pipes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{gal} = \frac{\pi \times r^2 \times h}{231} \]

Where:

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

Explanation: The formula calculates the cylinder's cubic volume then converts it to gallons.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for liquid storage, chemical processing, and industrial applications where precise measurements are critical.

4. Using the Calculator

Tips: Enter the radius and height in inches. Both values must be > 0. The result will be in US gallons.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for metric measurements?
A: No, this calculator is specifically for inches to US gallons. For metric, use centimeters and liters (1 liter = 1000 cm³).

Q3: Does this work for horizontal cylinders?
A: No, this formula is for vertical cylinders. Horizontal cylinders require a more complex calculation.

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

Q5: What's the maximum size this can calculate?
A: There's no theoretical maximum, but extremely large values may exceed PHP's number handling limits.