# Cylinder Volume Calculator

If you are searching for how to find the volume of a cylinder, this **cylinder volume calculator** is for you.

**The volume of a cylinder is a quantity present in many applications**. For example, in a vehicle, the **engine displacement** term refers to the volume swept by the piston in the engine cylinders, multiplied by the number of cylinders.

This tool calculates the cylinder volume in a matter of seconds. Still, **in the following sections, we present the cylinder volume formula** to do it manually, including the equation to calculate the volume of a hollow cylinder.

To know more about the different volume units, you can look at our volume converter.

## Solid cylinder volume formula

Like all regular prisms, **the volume of a cylinder is the surface area of an end multiplied by its length** (the same happens for the volume of a rectangular prism). Therefore, the formula to calculate the volume of a cylinder (**solid**) is:

, where:

- $V$ — Cylinder volume;
- $R$ — Cylinder radius; and
- $h$ — Cylinder height.

We can express the previous formula **in terms of the cylinder diameter ($D$), remembering that $D = 2R$:

## Formula to calculate the volume of a hollow cylinder

The equation to calculate the volume of a **hollow** cylinder is:

$V = \text{π}\times (R^2 - r^2)\times h$

- $V$ — Cylinder volume;
- $R$ — Cylinder external radius;
- $r$ — Cylinder internal radius; and
- $h$ — Cylinder height.

We can also express the previous formula **in terms of the external ($D) and internal diameters ($d$$)**:

$V = π\times (D^2 - d^2)\times h/4$

## How to use this cylinder volume calculator

For a **solid cylinder**:

**Input the height**of the cylinder in the "Height" box. Suppose it equals 20 cm.**Input the radius**of the cylinder in the "Radius" box. Let's say it equals 5 cm.- The cylinder volume should be
**1570.8 cm**. That's how you find the volume of a cylinder with this calculator.^{3}

How to calculate the volume of a **hollow cylinder**:

**Input the height**of the cylinder in the "Height" box. Suppose it equals 20 cm.**Input the external diameter**of the cylinder in the "Diameter external" box. Let's say it equals 10 cm.**Input the internal diameter**of the cylinder in the "Diameter internal" box. Let's say it equals 5 cm.- The cylinder volume should be
**1178.1 cm**. That's how you calculate the volume of a hollow cylinder with this tool.^{3}