Pipe Volume Calculator
Calculate internal pipe volume and liquid mass from inner diameter, pipe length, and liquid density.
Inputs
Water is about 997 kg/m³ near room temperature.
Results
Cross-sectional area
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Internal volume
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Liquid mass
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Step-by-step derivation
Enter values and click Calculate.
References
- Cylinder volume:
V = πd²L / 4 - Cross-sectional area:
A = πd² / 4 - Liquid mass:
m = ρ × V
Use this Pipe Volume Calculator to estimate the internal volume of a straight round pipe and the mass of liquid it contains. Enter the pipe’s inner diameter, length, and liquid density.
Pipe Volume Formulas
Cross-sectional area = π × d² ÷ 4
Pipe volume = π × d² × L ÷ 4
Liquid mass = density × volume
Where d is the pipe’s inner diameter and L is its length.
Example
Suppose a pipe has an inner diameter of 100 mm, a length of 12 m, and contains water with a density of 997 kg/m³.
Convert the diameter:
100 mm = 0.1 m
Calculate the internal volume:
Volume = π × 0.1² × 12 ÷ 4
Volume ≈ 0.09425 m³
Since 1 m³ = 1,000 L:
Volume ≈ 94.25 L
Calculate the liquid mass:
Mass = 997 × 0.09425 ≈ 93.97 kg
The pipe therefore holds approximately 94.25 litres and contains about 94 kg of water when full.
Important Notes
- Use the inner diameter, not the outside diameter.
- The calculation assumes a straight, cylindrical pipe that is completely full.
- Fittings, valves, bends, reducers, deposits, wall thickness, and partially filled sections can change actual volume.
- Liquid mass depends on density, which can vary with fluid type and temperature.
- This calculator does not calculate flow rate, velocity, pressure loss, or pump requirements.