Cylinder calculator
Calculate the volume and total surface area of a right circular cylinder using its radius and perpendicular height.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Radius | Enter the radius, which is half the diameter. |
| Height | Enter height using the definition in the method and example. |
Understanding your result
Read Volume (cubic units), Total surface area (square units) in the units and model stated on this page. The formula V = πr²h · S = 2πr(r + h) defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Entering the diameter where the radius is requested.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
How much does a cylinder hold, and what is its total surface area?
Enter a circular base radius and perpendicular height. Volume measures the enclosed space; total surface area includes both circular ends.
Common uses
- Estimate a cylindrical container’s volume.
- Calculate the surface area of a closed cylinder.
How it works
The volume is the circular base area times height. Total surface area includes both circular ends and the curved side. This models a closed cylinder, not an open container. Use the radius, which is half the diameter, and consistent length units.
Worked example
Radius 2 and height 5 give volume 20π ≈ 62.8319 and total surface area 28π ≈ 87.9646.