Definition:
The number of square units it takes to exactly cover the surface of a cylinder. Given by the formula:

Try this
Drag the orange dot to resize the cylinder, note how the area is calculated.

See also: Volume of a cylinder

The surface area of a cylinder can be found by breaking it down into three parts:

- The two circles that make up the ends of the cylinder.
- The side of the cylinder, which when "unrolled" is a rectangle

For a detailed look at how this formula is derived, see Derivation of the surface area of a cylinder.

ENTER ANY TWO VALUES | ||

Radius | clear | |

Height | clear | |

Surface area | clear | |

Use the calculator above to calculate height, radius or surface area of a cylinder.

Enter any two values and the missing one will be calculated. For example: enter the radius and height, and press 'Calculate'. The surface area will be calculated.

Similarly, if you enter the height and area, the radius needed to get that area will be calculated.

- In the figure above, adjust the height and diameter of the cylinder and note how the surface area is calculated.
- Click 'reset' and 'hide details'. Adjust the cylinder to a new size and calculate the surface area. Click 'show details' to verify your answer.
- Click 'reset'. Calculate what happens if you double the height - does the surface area double also?
- Click 'reset'. Calculate what happens if you double the diameter - does the surface area double also?

- Definition and properties of a pyramid
- Oblique and right pyramids
- Volume of a pyramid
- Surface area of a pyramid

- Cylinder - definition and properties
- Oblique cylinders
- Volume of a cylinder
- Volume of a partially filledcylinder
- Surface area of a cylinder

- Definition of a cone
- Oblique and Right Cones
- Volume of a cone
- Surface area of a cone
- Derivation of the cone area formula
- Slant height of a cone

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