Horizontal Oval Tank Volume Calculator

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 calculated by determining the area, A, of the end (shaped like a stadium), and then multiplying it by the length, l. The area of the end is given by:

A = πr² + 2ra

Where:

r = h/2 (radius is half of the height)
a = w - h (the flat sides of the stadium are the width minus the height)
w > h (the width must always be greater than the height)

Therefore, the total volume of the tank is:

V(tank) = (πr² + 2ra)l

Volume of Fill

To calculate the volume of fill in a horizontal oval tank, it is useful to imagine the tank as two halves of a cylinder separated by a rectangular tank. The fill volume can then be calculated by summing the volumes of:

A horizontal cylinder tank where:
- l = l (length of the tank)
- f = f (fill height)
- diameter d = h (height of the tank)
A rectangular tank where:
- l = l (length of the tank)
- f = f (fill height)
- width w = a = w - h (width of the rectangular section, which is the same as the flat sides of the stadium end)

Therefore, the fill volume of the tank is:

V(fill) = V(fill-horizontal-cylinder) + V(fill-rectangle)