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Horizontal Cylinder Tank Fill

Find liquid volume from fill depth in a horizontal round tank.

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Local calculations. Results are estimates, not professional advice.

Liquid volume

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Straight circular cylinder with flat ends. Dished end caps, tilt and wall thickness are excluded.

Formula

Use A = r²acos((r−h)/r)−(r−h)√(2rh−h²) and V = AL. r is inner radius, h is liquid depth from the bottom, and L is cylinder length, all in m. acos uses radians; V is in m³.

Find liquid volume from fill depth in a horizontal round tank.

Worked example

Inner radius (m)
1
Straight cylinder length (m)
2
Fill depth from bottom (m)
1
Liquid volume
3.14159 m³
Fill fraction
50 %

Scope and limitations

Straight circular cylinder with flat ends. Dished end caps, tilt and wall thickness are excluded.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: a8299662cd2c · Example checked:

Methodology

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