Pipe Volume Calculator
Calculate pipe volume, diameter, length, and liquid mass with precise engineering formulas
Calculate Pipe Parameters
V = π × r² × L
From diameter and length
D = 2√(V/πL)
From volume and length
L = V/(π × r²)
From volume and diameter
Internal diameter of the pipe
Total length of the pipe
Select for automatic density
Density for mass calculation (default: water)
Volume & Mass Results
Volume
Liquid Mass
Formula: V = π × r² × L
Inputs: Diameter: 0.00 cm, Length: 0.00 m
Liquid: Density: 997.0 kg/m³
Example Calculation
6-meter Pipe Volume Calculation
Pipe: 15 cm inner diameter, 6 meters length
Liquid: Water (density 997 kg/m³)
Method: V = π × r² × L
Step-by-step Calculation
1. Convert diameter to radius: r = 15 cm ÷ 2 = 7.5 cm = 0.075 m
2. Apply formula: V = π × (0.075 m)² × 6 m
3. Calculate: V = 3.14159 × 0.005625 × 6 = 0.106 m³
4. Convert to liters: 0.106 m³ × 1000 = 106 liters
5. Calculate mass: 0.106 m³ × 997 kg/m³ = 105.7 kg
Result: 106 liters of water weighing 105.7 kg
Common Pipe Sizes
½ inch (1.3 cm)
Residential plumbing
Small fixtures
2 inch (5 cm)
Main water lines
Standard residential
6 inch (15 cm)
Industrial systems
Commercial applications
Liquid Densities
Pipe Volume Tips
Use inner diameter, not outer diameter
Keep units consistent for accuracy
Consider liquid type for mass calculations
Account for fittings and bends
Consider expansion for heated liquids
Understanding Pipe Volume Calculations
What is Pipe Volume?
Pipe volume refers to the internal cubic capacity of a pipe - the amount of liquid it can hold when completely filled. This is critical for system design, material calculations, and capacity planning in construction and engineering projects.
Key Applications
- •Plumbing system design and material estimation
- •Heating system capacity calculations
- •Irrigation system volume planning
- •Industrial process piping design
- •Chemical processing and transport systems
Cylindrical Volume Formula
V = π × r² × L
where r = diameter ÷ 2
- V: Volume (cubic units)
- π: Pi (≈ 3.14159)
- r: Inner radius (length units)
- L: Length (length units)
Important: Always use the inner diameter, not the outer diameter. The wall thickness of the pipe does not contribute to the internal volume.
Mass Calculation
Mass = Volume × Density
Multiply volume by liquid density to find total weight