Cylinder Volume Gallons Calculator

Cylinder Volume Formula:

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

Volume: gallons

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1. What is a Cylinder Volume Gallons Calculator?

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

Purpose: It helps 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 in inches
\( h \) — Height in inches
\( \pi \) — Pi (approximately 3.1416)
231 — Cubic inches per gallon (conversion factor)

Explanation: The formula calculates the cylindrical volume in cubic inches then converts to gallons.

3. Importance of Cylinder Volume Calculation

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

4. Using the Calculator

Tips: Enter the radius and height in inches. Both values must be > 0. The result shows volume 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 centimeters instead of inches?
A: No, this calculator requires inches. For cm, convert to inches first (1 inch = 2.54 cm).

Q3: Does this work for horizontal cylinders?
A: This calculates total capacity. For partial fills in horizontal cylinders, a different formula is needed.

Q4: What about irregular shapes?
A: This only works for perfect cylinders. Other shapes require different formulas.

Q5: How precise is this calculation?
A: Very precise for perfect cylinders. Real-world containers may vary slightly due to manufacturing tolerances.