Tank volume calculator

Calculate liquid volume at a measured fill depth in a horizontal circular cylinder.

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More inputs and assumptions

Answer

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Calculate liquid volume at a measured fill depth in a horizontal circular cylinder.

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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

Segment area = r² acos((r − h)/r) − (r − h)√(2rh − h²), then multiply by length. Flat ends only; dished ends, tilt and wall thickness are excluded. Dimensions share one unit.

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 Tank volume calculator

Calculate liquid volume at a measured fill depth in a horizontal circular cylinder.

Segment area = r² acos((r − h)/r) − (r − h)√(2rh − h²), then multiply by length. Flat ends only; dished ends, tilt and wall thickness are excluded. Dimensions share one unit.

Next: Cylinder volume calculator

A worked example

Example inputs: horizontal cylinder inside radius = 1, cylinder length = 2, fill depth from bottom = 1. Liquid volume = 3.14159265359.

Before you use the result

Segment area = r² acos((r − h)/r) − (r − h)√(2rh − h²), then multiply by length. Flat ends only; dished ends, tilt and wall thickness are excluded. Dimensions share one unit.

Example results for horizontal cylinder inside radius

These examples use Cylinder length: 2; Fill depth from bottom: 1. They are reference calculations, not recommended settings.

Horizontal cylinder inside radiusLiquid volume
0.51.57079632679
13.14159265359
24.91347879444
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ToolOctopus. “Tank volume calculator.” Updated 2026-09-26. https://tooloctopus.com/tank-volume-calculator.

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