KEVOS® MAKEOS · Geometry

Cylindrical Tank Contents

How much liquid is in this partly filled cylindrical tank?

Volume of liquid in a horizontal or vertical cylindrical tank at a given depth, with percentage full and remaining capacity.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Tank orientationchoiceHow the tank axis is installed.
Inside diametermmInside diameter from the tank drawing or measured shell circumference ÷ π minus wall thickness.
Inside length (straight shell)mmStraight shell length between flat ends (horizontal) or shell height (vertical).
Liquid depthmmMeasured liquid depth from the lowest inside point.

Method and formulas

  1. Horizontal: wetted area = r² arccos((r − h) ÷ r) − (r − h)√(2rh − h²); volume = area × length.
  2. Vertical: volume = π r² × depth.
  3. Volumes are converted from mm³ to litres (÷ 10⁶).
  4. Example: a horizontal tank 1200 mm × 3000 mm at 400 mm depth holds 990.02 L, 29.179% of its 3,392.9 L capacity.

Limitations

  • Flat ends only; dished or hemispherical heads add volume not included here.
  • The tank is assumed level; a slope changes the depth–volume relation.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Build a dip chart for a horizontal tank
  • Estimate coolant, oil or fuel stock from a depth reading
  • Check tank capacity for a batch

Who it is for

  • Maintenance planners
  • Process engineers
  • Operators

What you get

  • Liquid volume
  • Percentage full
  • Full capacity
  • Remaining capacity

Interpreting the result

  • Calibrate against a measured fill where stock value matters.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 68–69. Topic reference; no source tables or recommended settings are reproduced.

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Open the Cylindrical Tank Contents calculator