Volume Head Calculator Form
Use the responsive input grid below. Large screens show three columns, smaller screens show two, and mobile uses one column.
Example Data Table
These sample rows show how stored volume maps to liquid head across common tank shapes.
| Tank shape | Stored volume | Dimensions | Approx. head | Approx. fill |
|---|---|---|---|---|
| Rectangular tank | 2.40 m³ | 2.00 m × 1.50 m × 1.80 m | 0.80 m | 44.44% |
| Vertical cylindrical tank | 1.70 m³ | Diameter 1.20 m, height 2.50 m | 1.50 m | 60.12% |
| Horizontal cylindrical tank | 3.00 m³ | Diameter 1.60 m, length 3.00 m | 0.80 m | 49.74% |
Formula Used
1) Rectangular tank
Volume: V = L × W × h
Head from volume: h = V / (L × W)
2) Vertical cylindrical tank
Volume: V = πr²h
Head from volume: h = V / (πr²) = 4V / (πD²)
3) Horizontal cylindrical tank
Segment area: A(h) = r²cos⁻¹((r − h)/r) − (r − h)√(2rh − h²)
Volume: V = A(h) × L. The calculator solves h numerically because the inverse relation is nonlinear.
4) Hydrostatic pressure at the bottom
Pressure: p = ρgh
Here, ρ is fluid density, g is gravity, and h is the computed liquid head.
5) Fill percentage
Fill %: (Stored volume / Tank capacity) × 100
How to Use This Calculator
- Select the tank shape that matches your vessel.
- Enter the stored liquid volume and choose its unit.
- Choose the dimension unit for all tank dimensions.
- Set the output unit for the liquid head result.
- Enter fluid density and gravity if you also need bottom pressure.
- Fill in the tank dimensions shown for the selected shape.
- Press Calculate volume head to display results above the form.
- Review the graph, then export the detailed result table as CSV or PDF.
FAQs
1) What does volume head mean here?
Here, volume head means the liquid depth or height produced by a known stored volume inside a selected tank geometry.
2) Why does the same volume give different heads?
Different shapes spread liquid differently. A narrow vessel rises faster than a wide one, so the same volume can create very different liquid heads.
3) Does density change the head value?
No. Head depends on geometry and stored volume. Density only changes hydrostatic pressure, which is why pressure is calculated separately.
4) Why is the horizontal cylinder curve nonlinear?
Because the wetted cross-section changes shape as the liquid rises. Equal volume increases do not create equal head increases in that geometry.
5) Can I use feet, inches, gallons, and liters?
Yes. The page supports common length and volume units, then converts everything internally for consistent calculations.
6) What happens if I enter volume above capacity?
The calculator stops and shows a validation message. It also reports the maximum capacity in the same chosen volume unit.
7) What does bottom pressure represent?
It is the gauge pressure caused by the liquid column only. It does not include atmospheric pressure unless you add it separately.
8) What do the CSV and PDF files contain?
They contain the detailed result table, including head, capacity, fill percentage, remaining volume, remaining headroom, and pressure outputs.