Vertical cylinder and rectangular
A vertical cylinder holds π × r² × h; a rectangular tank holds length × width × height. For the liquid volume, use the liquid level instead of h.
Enter the dimensions and liquid level to get the total and filled volume of your tank in liters, cubic meters and gallons.
Enter the tank dimensions.
Calculated for flat-ended tanks. For dished or conical heads, add the head volume separately.
A vertical cylinder holds π × r² × h; a rectangular tank holds length × width × height. For the liquid volume, use the liquid level instead of h.
In a horizontal tank the liquid cross-section is a circular segment, so volume is not linear with level. Segment area × tank length gives the exact volume.
A sphere holds (4/3) × π × r³. The liquid volume at level h comes from the spherical cap formula: π × h² × (3r − h) / 3.
Square the radius (half the diameter), multiply by 3.1416, then by the height. With dimensions in meters the result is in m³; multiply by 1000 for liters.
One cubic meter is 1000 liters, or about 264.2 US gallons.
The liquid surface is widest in the middle and narrowest at the bottom and top. Half the height is 50% of the volume, but 25% of the height is only about 19.6%.
This tool assumes flat ends. For 2:1 ellipsoidal heads each head adds roughly π × D³ / 24, which you add to the shell volume.
Radar level sensors such as VEGAPULS measure the level without touching the liquid and, with a volume table, show the liters in the tank in real time.
Bizdavar supplies VEGA level and pressure sensors for water, fuel and chemical tanks and helps you choose the right model.