Barrel Volume Calculator
Calculate the volume of wooden barrels or casks using geometric integration. Supports liters, gallons, and fluid weight estimates.
About
Standard cylinder formulas fail when measuring barrels due to the bilge - the outward bulge in the center of the stave. This geometry requires specific integration methods (often Simpson's Rule or parabolic approximation) to accurately estimate capacity. This tool is essential for winemakers, distillers, and industrial cooperage where inventory is measured in liquid volume rather than weight.
The calculator provides simultaneous outputs in Liters, US Gallons, and Imperial Gallons. It also estimates the Full Weight of the barrel depending on the contents (Water, Oil, or Wine), using specific gravity constants to aid in logistics and shipping planning.
Formulas
We use the general approximation for a barrel with curved staves (parabolic profile).
V ≈ π h12 × (2Dbilge2 + Dhead2)
Where:
- h = Height (Length) of the barrel.
- Dbilge = Diameter at the widest point (middle).
- Dhead = Diameter at the lid (top/bottom).
Reference Data
| Barrel Type | Typical Capacity | Material Density (Specific Gravity) |
|---|---|---|
| Standard Wine Barrique | 225 L (59 gal) | Wine: 0.99 |
| Cognac Cask | 300 L (79 gal) | Spirits: 0.92 |
| Whiskey Hogshead | 238 L (63 gal) | Water: 1.00 |
| Puncheon | 500 L (132 gal) | Oil: 0.92 |