How barrel volume is estimated
A barrel is wider at the middle (bilge) than at the ends (head). The standard approximation treats the barrel as a solid of revolution and uses the formula V = (pi * h / 12) * (2 * D_bilge^2 + D_head^2).
For a straight-sided drum where bilge and head diameters are equal, the formula reduces to the standard cylinder volume: V = pi * r^2 * h.
V = (pi * h / 12)(2D_b^2 + D_h^2)
D_b = bilge diameter, D_h = head diameter, h = height.