All Tools

Cylinder Surface Area Calculator

Calculate the surface area of a cylinder with 2πr(r + h). Includes the formula, a worked example, and reference sizes for tanks and pipes.


Calculate surface area of cylinder

Formula

textsurfacearea=2pir2+2pirh\\text{surface area} = 2\\\\pi r^2 + 2\\\\pi rh

Where r is the radius and h is the height.

Factorized:

textsurfacearea=2pir(r+h)\\text{surface area} = 2\\\\pi r(r + h)

Worked example

Calculate the surface area of a cylinder with radius 5 cm and height 10 cm:

textsurfacearea=2pitimes5(5+10)=2pitimes5times15\\text{surface area} = 2\\\\pi \\\\times 5(5 + 10) = 2\\\\pi \\\\times 5 \\\\times 15=150piapprox150times3.1416=471.24textcm2= 150\\\\pi \\\\approx 150 \\\\times 3.1416 = 471.24 \\\\text{ cm}^2

Result: 471.24 cm²

How to use

  1. Enter the radius of the cylinder base
  2. Enter the height of the cylinder
  3. Click "Calculate" to see the surface area

Related formulas

  • Volume: pir2h\\\\pi r^2 h
  • Lateral surface area: 2pirh2\\\\pi rh
  • Base area: pir2\\\\pi r^2

Common use cases

  • Paint and material requirements
  • Pipe and tube calculations
  • Tank and container design
  • Manufacturing and engineering

FAQ

What if I only know the diameter? Divide by 2 to get the radius.

How is this different from volume? Surface area is the total area of all faces (2D); volume is the space inside (3D).

What about an open cylinder? Use only the lateral surface area: 2pirh2\\\\pi rh.

Can I calculate from volume? No, you need both radius and height separately.

Other related tools