Horizontal Cylindrical Tank Volume Calculator
Horizontal Cylindrical Tank Volume Calculator: calculate cylinder segment a with consistent units and explicit assumptions.
Inputs
m
m
m
Results
- Liquid volume
- 4.712389 m³
- Liquid height
- 1 m
- Liquid volume
- 4,712.38898 L
- Full capacity
- 9.424778 m³
- Volume fill
- 50 %
Formula
Cylinder segment A = r² acos((r−h)/r) − (r−h)√(2rh−h²)
Two ellipsoidal heads = π × head depth/r × (rh²−h³/3)
Inverse height uses bounded bisection; tables use equal height or equal volume steps.
Assumptions & limits
- Dimensions are internal. Straight length excludes both heads; head depth is axial depth of one head.
- Tank is level. Two identical ellipsoidal heads; 2:1 head depth = diameter/4. Calibration mode uses equal volume increments.
Worked example
For the example inputs: Liquid volume = 4.712389 m³; Liquid height = 1 m; Liquid volume = 4712.389 L.
Cylinder segment A = r² acos((r−h)/r) − (r−h)√(2rh−h²)