Calculate Gallons of Water in a Cylinder

Cylinder Volume Formula (Gallons):

\[ V_{gal} = \frac{π \times r² \times h}{231} \]

Volume (gallons):

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1. What is a Cylinder Volume Calculator?

Definition: This calculator estimates the volume of water in gallons that a cylindrical container can hold based on its radius and height.

Purpose: It helps determine water capacity for cylindrical tanks, pipes, or containers in various applications like plumbing, agriculture, and industrial processes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{gal} = \frac{π \times r² \times h}{231} \]

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 cylinder's volume in cubic inches (πr²h) then converts it to gallons by dividing by 231.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for proper system design, water treatment, irrigation planning, and industrial process control.

4. Using the Calculator

Tips: Measure the cylinder's radius and height in inches. Enter both values (must be > 0) to calculate the volume in gallons.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use feet instead of inches?
A: No, this calculator requires inches. Convert feet to inches by multiplying by 12.

Q3: Does this work for horizontal cylinders?
A: This formula is for vertical cylinders. Horizontal cylinders require a more complex calculation.

Q4: What about irregular shapes?
A: This calculator only works for perfect cylinders. For other shapes, use different formulas.

Q5: How accurate is this calculation?
A: It's mathematically precise for perfect cylinders. Real-world factors like wall thickness may affect actual capacity.