# Density of a Cylinder Calculator

Table of contents

What is density?Cylinder density formulaHow do I find the density of a cylinder?How to use this cylinder density calculator?Other related calculatorsFAQsThis **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 = πr*.^{2}h**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, adjusting to your needs:

- You can enter the cylinder's
and`Mass`

to calculate its`Volume`

**density**, when both the mass and volume are known quantities. - Alternatively, by checking the
`Show height and radius`

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

instead of its`Radius`

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

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

**636.6 kg/m ^{3}** is the density of this cylinder. To calculate this answer yourself, follow these steps:

**Calculate**the cylinder's**volume**using*V = πr*to get^{2}h*V = π×(5 cm)*.^{2}×(10 cm) = 785.40 cm^{3}**Divide**the cylinder's mass by its volume to get its**density**as*ρ = (500 g)/(785.40 cm*.^{3}) = 0.6366 g/cm^{3}**Convert**this density into**SI unit**to get*ρ = 0.6366 × 1000 = 636.6 kg/m*.^{3}- 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/πr ^{2}h*. 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 = πr*. Hence, their densities will also be the same.

^{2}h