Surface Area of a Cylinder Calculator

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.

Area of a Cylinder Calculator

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

Area of a Cylinder Calculator

area of a cylinder labelled image


Answer1


Answer2

 
 

How the Calculator Works

  1. Select the type of cylinder you want: closed, open or a tube (default is closed).
  2. Select if you want to use the radius or diameter (default is radius).
  3. 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).
  4. Choose your units of measurement (default is none)
  5. Choose your desired accuracy (default is 2 decimal places)
  6. Click the Find Area button
  7. You will be given two answers for the area, one in terms of Pi (π) and the other answer as a decimal value.

Types of Cylinder

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

right circular cylinder image

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.

Open and Closed Cylinders

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

open and closed cylinders image

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.

Area of a Cylinder Formula

area of a cylinder formula image

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.

Surface Area of a Cylinder Support

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!

More Recommended Math Resources

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

Volume of a Cylinder Calculator

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 cm3, m3

More Circle Worksheets and Support Pages

More Area & Volume Calculators

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

More Area Support and Resources

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

Looking for more math calculators?

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!

 

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