Volume Calculator Gallons Cylinder

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?

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

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

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)
\( 231 \) — Conversion factor (cubic inches per gallon)

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 hydraulic system design.

4. Using the Calculator

Tips: Enter the radius and height in inches. Both values must be > 0. The result shows the liquid capacity 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 horizontal cylinders?
A: This formula works for vertical cylinders. Horizontal cylinders require a more complex calculation.

Q3: What's the accuracy of this calculator?
A: It's mathematically precise, assuming perfect cylindrical shape and exact measurements.

Q4: How do I measure radius if I only know diameter?
A: Simply divide the diameter by 2 to get the radius.

Q5: Does this work for imperial gallons?
A: No, this uses US gallons (231 cu in). For imperial gallons (277.42 cu in), use a different conversion factor.