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Geometry

Capsule Volume Calculator

Calculate volume and surface area of a cylinder capped by two hemispheres.

Use consistent dimensionsArea and volume units explained below
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

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 radius, straight cylindrical length.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Volume = πr²L+4πr³/3; external area = 2πrL+4πr².

A WORKED EXAMPLE

Using radius = 2 units, straight cylindrical length = 6 units, the result is 108.908545 cubic units. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Length input excludes the hemispherical caps. At straight length zero the shape is a sphere.

What to keep in mind

Length input excludes the hemispherical caps. At straight length zero the shape is a sphere. 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 capsule volume calculator?

Calculate volume and surface area of a cylinder capped by two hemispheres. Enter radius in units, straight cylindrical length in units. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Length input excludes the hemispherical caps. At straight length zero the shape is a sphere.

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