Volume Calculator
Tanks & PipesNo Pre-filled Data

Horizontal Tank Volume Calculator (Liquid Fill Depth)

Calculate exact liquid volume in horizontal cylindrical oil, fuel, and water storage tanks. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.

Enter Dimensions

Measure your horizontal cylinder tank (liquid fill depth) and select units for each measurement

LIQUID d L
Dimension reference guide for Horizontal Cylinder Tank (Liquid Fill Depth)
Calculated Volume
0.00

How to Calculate Horizontal Cylinder Tank (Liquid Fill Depth) Volume

Understand the mathematical formula and measurement method

Standard Volume FormulaV_{fill} = [r^2 \arccos(\frac{r-d}{r}) - (r-d)\sqrt{2rd - d^2}] \times L

Where r = tank radius, L = length, d = liquid depth (d ≤ 2r). Total tank capacity is V_total = πr²L.

Calculation Steps

  1. 1Enter tank radius (r), tank length (L), and current liquid dipstick depth (d ≤ 2r).
  2. 2Our engine integrates the circular segment area: A_seg = r² arccos((r-d)/r) - (r-d)√(2rd - d²).
  3. 3Multiplies by tank length L to give exact fluid volume in gallons, liters, and fill percentage.

Practical Everyday Uses for Horizontal Cylinder Tank (Liquid Fill Depth)

Where this 3D calculation is applied in construction, shipping, and daily projects

Above-Ground Fuel & Diesel Tanks

Use a wooden dipstick to measure liquid inches and convert directly to remaining gallons.

Chemical & Water Storage

Determine when to schedule tank re-fills based on current fill percentage.

Frequently Asked Questions

Common measurement questions for horizontal cylinder tank (liquid fill depth) volume

Why isn’t a horizontal tank linear with depth?

Because the tank is circular, a 1-inch increase in depth near the middle holds significantly more liquid than 1 inch near the bottom or top.

What is the maximum depth allowed?

Liquid depth (d) cannot exceed twice the radius (d ≤ 2r), which corresponds to a completely full tank.

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