Welcome to our Area of a Cylinder Calculator page.

We explain how to find the surface area of a right circular cylinder and provide a quick calculator to work it out for you, step-by-step.

The calculator will also find the area of an open cylinder or a tube.

Quicklinks to ...

This calculator finds the surface area of a right circular cylinder when the radius (or diameter) and height are known.

- Select the type of cylinder you want: closed, open or a tube (default is closed).
- Select if you want to use the radius or diameter (default is radius).
- For the value, you can choose a whole number, decimal or fraction.
- You can type a fraction by typing the numerator then '/' then the denominator.
- You can type a mixed number by typing the whole-number part, then a space then the fraction part.
- Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).

- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Area button
- You will be given two answers for the area, one in terms of Pi (π) and the other answer as a decimal value.

There are many different types of cylinders, including right cylinders, oblique cylinders and elliptic cylinders.

The cylinders that are most common, and that we use for our calculators, are right circular cylinders which is a prism with two parallel circular bases on both ends as shown above.

As well as different types of cylinders, there are also categories of cylinder within each type: open and closed cylinders

A closed cylinder has two parallel circular bases as well as the curved surface.

An open-top cylinder has one circular base and a curved surface but no top.

An open cylinder is just a tube which has a curved surface with no top or bottom surface.

The surface area of a closed cylinder is: \[ A = 2 \pi r (r + h) \]

The surface area of an open-top cylinder is: \[ A = \pi r (r + 2h) \]

The surface area of an open cylinder (or tube) is: \[ A =2 \pi rh \]

where r is the radius of the circle and h is the height of the cylinder.

We have a page dedicated to understanding all about the surface area of cylinders.

There is a selection of worked examples, explanations and worksheets.

If you would like to know more about how to find the surface area of a cylinder, use the link below!

Take a look at some more of our math resources similar to these.

This calculator will take the radius or diameter and height measurements and find the volume of the cylinder.

The volume of a pipe calculator will find the volume of different pipes and give the answer in liters, gallons, or fluid ounces, as well as cm^{3}, m^{3}

We have a range of other area calculators to help you find the area of a range of different 2d and 3d shapes.

We have a range of other area worksheets and support pages for a range of different 2d shapes.

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Return to Calculators Hub page

Return from Area of a Cylinder Calculator to Math Salamanders Homepage

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

Do you know how old you are...in weeks? days? hours?

Are you more than a million minutes old?

Find out how old you are to the nearest second!

We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!

Take a look and try them out!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- Reverse Percentage Calculator
- List of Geometric Shapes
- Equivalent Fractions
- 3d Geometric Shapes
- Perimeter Worksheets

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for a fun and motivating way to learn and practice math skills?

Why not try one of our free printable math games with your students!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.