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Pipe Volume
7.85
liters
Input Parameters
Pipe Radius 5 cm
Pipe Length 100 cm
Cross-sectional Area 78.54 cm²
Volume in Different Units
Cubic Millimeters (mm³) 7,853,981.63
Cubic Centimeters (cm³) 7,853.98
Cubic Meters (m³) 0.007854
Cubic Inches (in³) 479.28
Cubic Feet (ft³) 0.28
Liters (L) 7.85

What the Pipe Volume Calculator Does

This calculator works out the internal volume of a cylindrical pipe from two simple measurements: the pipe's inner radius and its length. Because a pipe is just a long cylinder, its volume is found by multiplying the area of the circular cross-section by the length. The tool accepts measurements in millimetres, centimetres, metres, inches or feet, converts everything to a common base, and returns the volume in several units at once — including litres, which is especially handy for plumbing, irrigation and tank-filling work.

Cylindrical pipe with radius r on the circular face and length L along the pipe, inner volume shaded
Pipe volume depends on the inner radius (r) and the length (L) of the pipe.

How to Use It

  • Pipe Radius — enter the inner radius (half the inside diameter). If you only know the diameter, divide it by two first.
  • Radius Unit — choose mm, cm, m, in or ft to match how you measured.
  • Pipe Length — enter the run length of the pipe.
  • Length Unit — pick the unit for the length (it can differ from the radius unit).

Internally each value is converted to metres (mm ÷ 1000, cm ÷ 100, in × 0.0254, ft × 0.3048), so mixed units are handled correctly.

The Formula

The calculator uses the standard cylinder volume equation:

V = π × r² × L

Here r is the radius and L is the length, both in metres after conversion. The result is then expressed in cubic millimetres, cubic centimetres, cubic metres, cubic inches, cubic feet and litres.

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Circle area pi r squared extended along length L to form a cylinder
The circular cross-section area (πr²) multiplied by length gives the volume.

Worked Example

Suppose a pipe has a radius of 50 mm and a length of 3 m.

  • Convert radius: 50 mm ÷ 1000 = 0.05 m
  • Length is already 3 m
  • V = π × (0.05)² × 3 = π × 0.0025 × 3 ≈ 0.02356 m³

That equals about 23.56 litres (0.02356 × 1000), or roughly 0.832 cubic feet.

FAQ

Should I use the inner or outer radius? For the volume of liquid a pipe can hold, always use the inner radius. The outer radius would overstate capacity by including the wall thickness.

Can I mix units, like radius in inches and length in feet? Yes. Each input is converted to metres separately before the volume is calculated, so any combination works.

How do I find volume in litres? The calculator does this automatically: 1 cubic metre = 1000 litres. In the example above, 0.02356 m³ becomes 23.56 litres.

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