Geometry

Horizontal Cylinder Tank Volume Calculator

Calculate liquid volume in a level horizontal cylinder from fill depth.

Use consistent dimensionsArea and volume units explained below
Tank measurement desk
Tank measurement desk

Measure depth vertically from the inside bottom of a level tank.

See the method

Measure the tank and fill depth

Runs on your device

Liquid volume

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter internal radius, cylinder length, liquid depth from bottom.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Cross-section area = r²acos((r−h)/r)−(r−h)sqrt(2rh−h²). Multiply by cylinder length.

A WORKED EXAMPLE

Using internal radius = 1 m, cylinder length = 3 m, liquid depth from bottom = 0.5 m, the result is 1.84255455 m³. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Horizontal cylinder with flat ends and uniform radius. Domed ends, tilted tanks and internal obstructions are excluded.

What to keep in mind

Horizontal cylinder with flat ends and uniform radius. Domed ends, tilted tanks and internal obstructions are excluded. Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Common questions

How do I use this horizontal cylinder tank volume calculator?

Calculate liquid volume in a level horizontal cylinder from fill depth. Enter internal radius in m, cylinder length in m, liquid depth from bottom in m. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Horizontal cylinder with flat ends and uniform radius. Domed ends, tilted tanks and internal obstructions are excluded.

Methodology maintained by ClarityKit. How these tools are built and checked.