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Math Calculators

Cylinder Surface Area Calculator

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

Total surface area

471.2389

Lateral (side) area
314.1593

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Cylinder Surface Area Calculator

The Cylinder Surface Area Calculator works out your total surface area, along with 1 related figure in an instant. Enter radius and height and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the radius.
  2. Enter the height.
  3. Read off your total surface area, together with lateral (side) area — the calculator updates automatically, with no button to press.

Formula

The Cylinder Surface Area Calculator uses the formula:

Total surface area = 2 × 3.141592653589793 × Radius × (Radius + Height)

Worked example

For example, with radius of 5 and height of 10, the total surface area is 471.2389.

Inputs used
Radius 5
Height 10
Results
Total surface area 471.2389
Lateral (side) area 314.1593

Results are estimates for educational use, not professional advice.

Key terms explained

Surface area
The total area of all the outer faces of a three-dimensional object.
Radius
The distance from the centre of a circle or sphere to its edge.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Total surface area is 2πr(r + h). For a radius of 5 and height of 10 it is about 471.24 square units.

The curved side alone is 2πrh. It excludes the two circular ends.

The total area adds the two circular caps, each πr², to the lateral area.

Square units of whatever you enter for radius and height, such as square centimetres or square metres.

The Cylinder Surface Area Calculator uses the formula: Total surface area = 2 × 3.141592653589793 × Radius × (Radius + Height). For example, with radius of 5 and height of 10, the total surface area is 471.2389.

Enter the radius. Enter the height. Read off your total surface area, together with lateral (side) area — the calculator updates automatically, with no button to press.

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