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Math

Cylinder Calculator

Instant cylinder volume and surface area — any unit, any size.

Cylinder Dimensions

Formulas Used

  • Volume          = π × r² × h
  • Lateral Surface = 2π × r × h
  • Total Surface   = 2π × r × (r + h)
  • Base Area       = π × r²
  • Diameter        = 2 × r
  • Circumference   = 2π × r

Results

Volume

785.398163cm³

Total Surface Area

471.238898cm²

Lateral Surface

314.159265cm²

Base Area (each)

78.539816cm²

Diameter

10cm

Circumference

31.415927cm

Quick Reference

r= radius (half the width of the circular base)
h= height (perpendicular distance between bases)
π3.1415926536
Abase= area of one circular end cap
About

The cylinder calculator finds the volume and surface area of any right circular cylinder in seconds. Enter the radius and height in your preferred unit — millimetres, centimetres, metres, inches, or feet — and instantly get volume, total surface area, lateral surface area, base area, diameter, and circumference. Perfect for engineering, packaging, construction, and classroom geometry problems.

FAQ
What is the formula for the volume of a cylinder?+

Volume = π × r² × h, where r is the radius of the circular base and h is the height. For example, a cylinder with radius 5 cm and height 10 cm has a volume of π × 25 × 10 ≈ 785.40 cm³.

How is total surface area different from lateral surface area?+

Lateral surface area (2πrh) covers only the curved side wall. Total surface area adds both circular end caps (each πr²), giving 2πr(r + h). Use total surface area when calculating paint or material needed to enclose the cylinder completely.

Can I calculate in inches or feet?+

Yes. Select your unit from the dropdown — mm, cm, m, in, or ft — and all results are shown in that unit. Volume is given in cubic units (e.g. in³) and areas in square units (e.g. in²).

What is the difference between radius and diameter?+

The radius (r) is the distance from the centre of the circular base to its edge. The diameter is twice the radius (2r) and spans the full width of the circle. If you only know the diameter, halve it to get the radius before calculating.

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