Cylinder Volume Calculator
Calculate the volume, surface area and lateral area of a cylinder.
Formula and sources updated · Data sources · 1View algorithm, constants and default inputs (JSON)
Volume (cm³)
About this calculator
A cylinder’s volume is the area of its circular base multiplied by its height. This is the calculation used for tanks, pipes, cans and any container with straight sides.
Worked example
calculated with the default values below
Radius 5 cm · Height 20 cm Volume 1,570.7963 cm³ · Total surface area 785.3982 cm² · Lateral area 628.3185 cm² · Volume 1.570796 L · Volume 0.00157080 m³
Method and assumptions
Formula basis and scope
V = πr²h; closed surface area = 2πr(r + h).
Ideal Euclidean shapes; use consistent length units. A diameter is twice the radius.
Data sources
Disclaimer
These calculators give general mathematical results. They suit study, planning and estimation — verify anything that feeds a graded submission, a published figure or a financial commitment.
Implementation source
This record describes the implementation used by this page. It is not independent validation. External references, when available, support only the stated formula or definition; estimates and custom rules retain their own assumptions.
Formula and variables
V = πr²h; S = 2πr(r + h); A = 2πrh
- r
- Radius (cm)
- h
- Height (cm)
- V
- Volume (cm³)
- S
- Total surface area (cm²)
- A
- Lateral area (cm²)
r,h in cm; litres = V÷1000; cubic metres = V÷10⁶.
Frequently asked questions
Why does the cylinder volume also show litres and cubic metres?
The tool computes volume as pi times radius squared times height in cubic centimetres, then converts: divide by 1000 for litres and by 1,000,000 for cubic metres. A default 5 cm radius and 20 cm height gives 1,570.8 cm cubed, or 1.571 litres, a handy size for a drinks-can check. Surface area adds the two end caps, so it exceeds the lateral area alone.