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Mathematics

Cylinder calculator

Calculate the volume, lateral area, closed surface area and axial section of a right circular cylinder.

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01

Your inputs

The starting values are an example.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

V=πr²h, L=2πrh, S=2πr²+2πrh. The axial-section diagonal is √[(2r)²+h²].

Worked example

A cylinder with radius 3 cm and height 10 cm has volume 90π ≈ 282.7433 cm³ and surface area 78π ≈ 245.0442 cm².

Things to check

  • The surface area includes both circular ends. For an open container, subtract the missing end.
  • Wall thickness, material thickness and a filling allowance are not included.

Frequently asked questions

How do I convert cm³ to litres?

1,000 cm³ equals 1 litre. Divide the calculated geometrical volume by 1,000.