Cylinder Volume Calculator Gallons

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 Calculator in Gallons?

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

Purpose: It helps engineers, tank designers, and DIYers determine liquid capacity of cylindrical containers.

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
231 — Conversion factor (cubic inches per gallon)

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 hydraulic system design.

4. Using the Calculator

Tips: Enter the radius and height in inches. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use centimeters instead?
A: No, this calculator requires inches. Convert cm to inches first (1 inch = 2.54 cm).

Q3: Does this work for horizontal cylinders?
A: This calculates total volume. For partially filled horizontal cylinders, a different formula is needed.

Q4: What's the most common use for this?
A: Calculating water tank capacities, barrel volumes, and pipe liquid volumes.

Q5: How accurate is this calculation?
A: Mathematically precise for perfect cylinders. Real-world tanks may have variations.