Last updated: Mar 18, 2024

Density of a Cylinder Calculator

Q: 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 2 h to get 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.

Q: 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 2 h . Hence, their densities will also be the same.

Created by Krishna Nelaturu

Krishna Nelaturu

Krishna holds a Master's degree in Applied Mechanics and never shies away from asking questions and digging deeper. He has two years of experience in steel castings and a particular fascination for vehicle dynamics. For his thesis, Krishna developed a new optimization method to reduce squeak and rattle in premium cars. He is passionate about mathematics and physics and constantly wonders about our place in the Universe. He also loves stories and storytelling and hopes to write a book someday. See full profile

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Rijk de Wet

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Holds a Master's degree in Data Science / Industrial Engineering, obtained at Stellenbosch University, South Africa. His research investigates using swarm intelligence to solve data clustering and other optimization problems. Will never refuse an offer to play some board games. See full profile

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Table of contents

What is density?Cylinder density formula How do I find the density of a cylinder?How to use this cylinder density calculator?Other related calculators FAQs

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:

\rho = \frac{m}{V}

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:

V = \pi r^2 h

where:

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

Image of a cylinder with radius and height marked. Cylinder volume formula displayed. — A cylinder with radius r and height h.

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

\rho = \frac{m}{\textcolor{red}{V}} = \frac{m}{\textcolor{red}{\pi r^2 h}}

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, adjusting to your needs:

You can enter the cylinder's Mass and Volume to calculate its 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's Height and Radius instead of its volume to calculate the cylinder's density. Use these fields if you don't know the cylinder's volume.

FAQs

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.