Cylinder Calculator
Compute volume, total surface area and lateral area of a right circular cylinder.
About Cylinder Calculator
A right circular cylinder's volume is the base area times height (πr²h). The lateral surface unrolls into a rectangle of width 2πr and height h.
Formulas
Volume
V = πr²h
- r
- Radius
- h
- Height
Total Surface Area
SA = 2πrh + 2πr²
- r
- Radius
- h
- Height
Worked example
With the default values below, Cylinder Calculator returns Volume of 502.6548. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Radiusminimum 0 units
- 4 units
- Heightminimum 0 units
- 10 units
Results
- Volume
- 502.6548 cu units
- Total Surface Area
- 351.8584 sq units
- Lateral Area
- 251.3274 sq units
Step by step
- 1Volume= 502.6548
- 2Lateral area= 251.3274
- 3Total surface area= 351.8584
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What is lateral area?
The area of the curved surface only, excluding the two circular bases: 2πrh.
How do I find the radius from volume and height?
r = √(V/(πh)). Divide volume by πh, then take the square root.