# Density of a Cylinder Calculator

This **density of a cylinder calculator** is helpful to determine the density of any cylindrical structure, given its **mass** and **volume**. If you're uncertain about the cylinder's volume, you can use its **dimensions** instead.

In this article, let's discuss some basic concepts:

- What is density?
- What is the formula for cylinder density?
- How to find the density of a cylinder?
- FAQ

## What is density?

Density is the amount of **mass** of a substance **per unit volume**. It is given by:

where:

- $\rho$ is the
**density**of the substance; - $m$ is the
**mass**of the substance; and - $V$ is the
**volume**of the substance.

The SI unit of density is **kilogram per cubic meter** ($\text{kg}/\text{m}^3$), while its imperial unit is **pound per cubic feet** ($\text{lb}/\text{ft}^3$).

## Cylinder density formula

To derive a cylinder density formula, let's start by calculating its **volume**:

where:

- $V$ is the cylinder's
**volume**; - $r$ is the cylinder's
**radius**; and - $h$ is the cylinder's
**height**.

Combining this with the general formula for density we've seen in the previous section, we get the **formula for cylinder density**:

## How do I find the density of a cylinder?

To calculate the density of a cylinder, follow these steps:

**Measure**the**mass**`m`

of the cylinder if it is not already known.**Determine**the cylinder's**volume**`V`

from its**radius**`r`

and**height**`h`

using the formula`V = πr²h`

.**Divide**the cylinder's mass by its volume to get its**density**`ρ = m/v`

.- Verify your results using our density of a cylinder calculator.

## How to use this cylinder density calculator?

This density of a cylinder calculator is easy to use. It has **two modes** of calculation to suit your needs:

- In the default
`Simple mode`

, you can enter the cylinder'sand`Mass`

to calculate its`Volume`

**density**. Use this mode if both the mass and volume are known quantities. - Using the
`Advanced mode`

, you can also feed the cylinder'sand`Height`

instead of its`Radius`

**volume**to calculate the cylinder's**density**. Use this mode if you*don't know*the cylinder's volume.

## Other related calculators

The following is a useful collection of other relevant density calculators at your disposal:

## FAQ

### What is the density of a 500g cylinder with a 5cm radius and 10cm height?

`636.6 kg/m³`

is the density of this cylinder. To calculate this answer yourself, follow these steps:

**Calculate**the cylinder's**volume**using`V = πr²h`

to get`V = π×(5 cm)²×(10 cm) = 785.40 cm³`

.**Divide**the cylinder's mass by its volume to get its**density**as`ρ = (500 g)/(785.40 cm³) = 0.6366 g/cm³`

.**Convert**this density into**SI unit**to get`ρ = 0.6366 × 1000 = 636.6 kg/m³`

.- Verify this result using our density of a cylinder calculator.

### How do I calculate the density of an oblique cylinder?

The density of an oblique cylinder is given by: `ρ = m/πr²h`

. As long as you measure the cylinder's **height** `h`

**perpendicular** to its **base**, the formula for the **volumes** of oblique and right cylinders are the * same*:

`V = πr²h`

. Hence, their densities will also be the same.