c+CalcLantern

Tapered log volume

Estimate geometric solid volume from both end diameters.

How this works

Treat each log as a conical frustum: πL(D₁² + D₁D₂ + D₂²)/12.

Example

Using the example inputs, geometric solid volume is 0.290597 m³.

Log length
3 m
Large end diameter
0.4 m
Small end diameter
0.3 m
Log count
1
Geometric solid volume
0.290597 m³

Scope and assumptions

Not a lumber grading or sawmill board-foot scale; bark and irregularities affect yield.

OpenStax mathematics reference

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