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Mechanical Engineering3D

Cylinder Volume Calculator

Calculate the volume of a cylinder in liters, m³, or gallons from diameter and height.

Inputs
Enter your values below
Result
Volume
—
Enter values and click Calculate
Formula
π × (diameter ÷ 2)² × height × 1000
Result unit: L

V = π(D/2)² × H. Dimensions in m after conversion; ×1000 converts m³ to liters.

Introduction

Calculate the internal volume of a cylinder — the basis for tank volume, pipe capacity, and pressure vessel calculations. For horizontal tanks, use the tank volume calculator for partially-filled volumes.

How This Calculator Works

V = π(D/2)² × H. Dimensions in m after conversion; ×1000 converts m³ to liters.

Step-by-step process:

  1. Enter your input values in the calculator above
  2. The engine converts all inputs to SI base units (meters, kg, Pa)
  3. The formula is evaluated: pi * (diameter/2)^2 * height * 1000
  4. Result is formatted with the appropriate unit and precision

Calculation Example

3m diameter × 6m tall cylinder = 42,412 liters (same as our vertical tank example).

Inputs: diameter=3, height=6
Result: 42412 L

Engineering Applications

  • •Tank capacity
  • •Pipe volume
  • •Vessel sizing
  • •Receiver tank design

Frequently Asked Questions

How do I convert liters to gallons?

1 liter = 0.264 US gallons = 0.22 UK gallons. Divide liters by 3.785 for US gallons.

Does this work for horizontal tanks?

This gives total (100% full) volume. For partially-filled horizontal tanks, use the liquid-volume calculator which accounts for fill height.

How do I convert cylinder volume between m³ and liters?

1 m³ = 1000 L. For example, a 0.5 m³ cylinder = 500 L. Multiply m³ by 1000 to get liters, or divide liters by 1000 to get m³.

Related Calculators

Tank Volume CalculatorPartially Filled Horizontal Tank Volume CalculatorPipe Volume CalculatorPressure Vessel Volume CalculatorTank Capacity CalculatorTank Surface Area CalculatorTank Weight CalculatorSphere Volume CalculatorCone Volume CalculatorStorage Capacity Calculator

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Engineering Disclaimer: Calculations are for reference and educational purposes only. Always verify results independently for engineering design. See full disclaimer.
Reviewed by: Industrial Engineering Team
References: ASME B31.3, ASTM A36, Perry's Chemical Engineers' Handbook