Calculadora de Superfície do Cilindro
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
S = 2πr² + 2πrh
About this calculator
The Cylinder Surface Area Calculator computes the total surface area of a right circular cylinder. The formula used is S = 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. The first term (2πr²) represents the area of the two circular bases, while the second term (2πrh) corresponds to the lateral surface area. The result is expressed in square units, such as square meters (m²).
This tool is useful for professionals and students who need to determine the amount of material required to cover a cylinder, such as in packaging, piping, or tanks. For example, when calculating paint for a cylindrical tank, the total surface area is essential. It is also applied in engineering and design projects where the surface of cylindrical objects needs to be optimized.
To use the calculator, enter the radius and height of the cylinder in any unit of length (meters, centimeters, etc.). The calculator performs the calculation automatically, considering π (pi) as approximately 3.14159. Ensure both measurements are in the same unit to obtain a consistent result. The result shows the total surface area, which is the sum of the areas of the bases and the lateral area.
Important precautions: the formula assumes a right cylinder with parallel bases and an axis perpendicular to the bases. For oblique cylinders or those with non-circular bases, this formula does not apply. Additionally, note that surface area does not include internal volume; it is only the external measurement. Verify that units are correct and use precise values to avoid errors in practical applications.
Frequently asked questions
What is a right cylinder?
It is a cylinder whose bases are parallel circles and the axis is perpendicular to the bases. It is the most common shape, like a can or a pipe.
Can I use this calculator for cylinders with elliptical bases?
No. The formula is specific to circular bases. For elliptical bases, the surface area is calculated differently.
What is the difference between lateral area and total area?
The lateral area is just the curved surface (2πrh). The total area also includes the two bases (2πr²).
What happens if I use different units for radius and height?
The result will be incorrect. Convert all measurements to the same unit before calculating.
Does this calculator work for the area of a pipe?
Yes, for a cylindrical pipe, the external surface area is calculated with this formula. If the pipe is hollow, the internal area is different.