Horizontal Oval Tank Volume Calculator - Calculate volume in litres, gallons, cubic feet, bbl, cubic meters

Total Volume (m³):

Filled Volume (m³):

Total Volume (U.S. Gallons):

Filled Volume (U.S. Gallons):

Total Volume (Imp. Gallons):

Filled Volume (Imp. Gallons):

Total Volume (Liters):

Filled Volume (Liters):

Total Volume (Cubic Feet):

Filled Volume (Cubic Feet):

Tank Volume (bbl):

Filled Volume (bbl):

Horizontal Oval Tank Formula

Volume Calculation

The volume of a horizontal oval tank is determined by first calculating the area, A, of its end (which is shaped like a stadium) and then multiplying this area by the length, l. The formula for the area of the end is:

A = πr² + 2ra

Where:

r = h/2 (radius of the semicircular ends, which is half the height)
a = w - h (flat sides of the stadium, obtained by subtracting the height from the width)
w > h (the width must be greater than the height)

Using this, the total volume of the tank can be expressed as:

\( V_{\text{tank}} = (\pi r^2 + 2ra)l \)

Volume of Fill

To calculate the volume of liquid fill in a horizontal oval tank, the tank can be conceptually divided into two parts: (1) the semicircular portions at the ends (treated as horizontal cylindrical tanks) and (2) the central rectangular portion. The total fill volume is the sum of the volumes of these two components.

**For the horizontal cylindrical portions:**
- Length l = l (length of the tank)
- Fill height f = f (height of the liquid fill)
- Diameter d = h (height of the tank)
**For the central rectangular portion:**
- Length l = l (length of the tank)
- Fill height f = f (height of the liquid fill)
- Width w = a = w - h (width of the rectangular section, equal to the flat sides of the stadium ends)

Therefore, the total fill volume of the tank is:

\( V_{\text{fill}} = V_{\text{fill-horizontal-cylinder}} + V_{\text{fill-rectangle}} \)

This approach simplifies the calculation by dividing the complex shape of the horizontal oval tank into simpler geometric components, ensuring accurate results for any fill height \( f \).