Barrel volume capacity calculator

Estimated full volume = π × length × (end diameter² + 2 × middle diameter²) ÷ 12. Multiply by the fill fraction.

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Answer

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Estimated full volume = π × length × (end diameter² + 2 × middle diameter²) ÷ 12. Multiply by the fill fraction.

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Precision and calculation record

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

Uses Simpson’s rule on circular cross-sectional areas, with equal end diameters and the widest section at the midpoint. This is an estimate for a bulged barrel, exact for a straight cylinder. Enter internal measurements. Fill fraction is a share of volume, not a liquid-height percentage.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Using Barrel volume capacity calculator

Estimated full volume = π × length × (end diameter² + 2 × middle diameter²) ÷ 12. Multiply by the fill fraction.

Uses Simpson’s rule on circular cross-sectional areas, with equal end diameters and the widest section at the midpoint. This is an estimate for a bulged barrel, exact for a straight cylinder. Enter internal measurements. Fill fraction is a share of volume, not a liquid-height percentage.

Next: Cylinder volume calculator

Next: Volume converter

A worked example

For length (cm) = 100, end diameter (cm) = 40, middle diameter (cm) = 50, fill fraction (%) = 100, estimated content (liters) = 172.787596.

Before you use the result

Uses Simpson’s rule on circular cross-sectional areas, with equal end diameters and the widest section at the midpoint. This is an estimate for a bulged barrel, exact for a straight cylinder. Enter internal measurements. Fill fraction is a share of volume, not a liquid-height percentage.

Example results for length (cm)

These examples use End diameter (cm): 40; Middle diameter (cm): 50; Fill fraction (%): 100. They are reference calculations, not recommended settings.

Length (cm)Estimated content (liters)
5086.393798
100172.787596
200345.575192
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ToolOctopus. “Barrel volume capacity calculator.” Updated 2026-09-29. https://tooloctopus.com/barrel-volume-capacity-calculator.

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