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Round timber volume

V=π(d1000)24ln
where
V
volume (m³)
d
diameter (mm)
l
length (m)
n
count
Explain this equation

Gives the volume of round timber of constant diameter, such as posts, poles or dowels, for a number of pieces.

d is the diameter in millimetres. l is the length of each piece in metres, and n is the number of pieces. V is the total volume in m³.

Each piece is a cylinder: cross-section area times length. The end area is πd²/4. Dividing d by 1000 first turns millimetres into metres, so the result comes out directly in m³.

Two 200 mm posts 3 m long are about 0.19 m³. Doubling the diameter makes the volume four times larger.

Watch out: this assumes a true cylinder. Tapered logs and merchant measuring rules give different figures.

Calculate a constant-diameter cylindrical piece.

mm
m

Enter your values to see the result.

Good to know

Diameter is in mm; length in metres. Not suitable for tapered logs or merchant grading/tally rules.

Sources

  • Geometry / arithmetic

This is a calculation aid, not a structural design or compliance certificate. Every default is an example, not a specification for your project.