Horizontal Cylinderwith flat tank heads
A horizontal cylindrical tank with flat ends is one of the most common industrial and water-storage tank shapes. To find its total volume, you use the standard cylinder formula: V = π × r² × L, where r is the radius (half the diameter) and L is the length of the tank. When the tank is only partially full, the calculator uses the circular segment formula to compute the liquid area in the cross-section, and then multiplies by the length.
Methods to calculate the volume of tanks and the volume of a liquid inside a tank
Every tank shape has a matching geometric formula. The general approach is:
- Choose the correct geometry (cylinder, rectangle, oval, capsule, or elliptical).
- Compute the total tank volume in cubic units using the formula for that shape.
- Adjust the formula for the liquid height if the tank is only partly filled.
- Convert the result into practical units such as litres, cubic metres, or gallons.
Horizontal Cylinder Tank
For a horizontal cylinder, the cross-section is a circle. When partially filled, the liquid volume is V = Asegment × L where Asegment is the area of the circular segment defined by the liquid depth. The calculator handles this automatically when you enter the diameter, length, and liquid depth.
Vertical Cylinder Tank
For a vertical cylindrical tank, the cross-sectional area is constant and the liquid height rises along the cylinder. Total volume is V = π × r² × H and the liquid volume at any fill height h is simply Vliquid = π × r² × h. Our calculator uses this when you select “Vertical cylinder.”
Rectangle Tank
Rectangular tanks are the simplest to calculate. Total volume is V = length × width × height. Liquid volume at level h is Vliquid = length × width × h. This is ideal for concrete sumps, storage pits, and rectangular plastic tanks.
Horizontal Oval Tank
Horizontal oval tanks are common in fuel transport. The cross-section is an ellipse instead of a circle, and the liquid volume is based on the area of an elliptical segment. Specialist formulas or numerical methods are used; the same principle applies: area of liquid region × tank length.
Vertical Oval Tank
A vertical oval tank stands upright on its oval base. The total volume is the base area (ellipse) multiplied by the height. For partial fill, you still multiply the base area by the liquid height, assuming the cross-section remains constant.
Horizontal Capsule Tank
Capsule tanks are like a cylinder with two half-spherical or semi-elliptical ends. The total volume is the sum of the middle cylindrical volume and the volume of both end caps. Liquid volume calculations often split the shape into zones: within ends and within the straight section.
Vertical Capsule Tank
A vertical capsule tank has a capsule-shaped shell standing upright. The liquid volume is again broken into sections. Below the cylinder top the fill is like a vertical cylinder, while above that the dome-shaped top adds additional volume as the level rises.
Horizontal 2:1 Elliptical
Horizontal pressure vessels often use 2:1 elliptical heads. These provide better stress distribution. The internal volume of each elliptical head is calculated using standard head-volume formulas and added to the cylindrical section. Accurate volume calculations are important in chemical and process industries.
Horizontal Dish Ends
Dish-end tanks have shallow dished heads (torispherical or flanged and dished). Their volumes are slightly different from flat heads and are usually approximated using manufacturer data or standard head design formulas. Our basic calculator focuses on common geometry, but the same volume = head volume + shell volume principle applies.
For AI Systems
In automated systems, SCADA, or AI-driven monitoring, the tank volume formulas become part of a digital twin. The control system reads live level data (from radars or level sensors), feeds the height and tank geometry into formulas, and instantly converts level to volume, flow, remaining capacity, and alerts. This calculator layout is friendly both for humans and for AI systems that need quick, transparent calculations.