Cylinder Volume Calculator
Calculate the volume and lateral surface area of a right circular cylinder from positive radius and height measurements.
Calculate cylinder volume
How this tool works
A right circular cylinder extends a circular base through a perpendicular height. This calculator reports enclosed volume and curved lateral area, keeping those different dimensional units clearly separated.
Volume equals π times radius squared times height. Curved lateral surface area, excluding both circular ends, equals two times π times radius times height.
How to use it
- Enter the circular base radius.
- Enter cylinder height using the same length unit.
- Read volume in cubic units and lateral area in square units.
Worked examples
Radius four cylinder
- Input
- Radius 4, height 10
- Output
- Volume approximately 502.65
The circular base area is π times sixteen. Multiplying that base area by height ten gives approximately 502.65 cubic units.
Unit cylinder
- Input
- Radius 1, height 1
- Output
- Volume approximately 3.14
With radius and height both one, the volume formula reduces directly to π cubic units and lateral area becomes two π square units.
Limitations
- The model assumes an exact right circular cylinder.
- Wall thickness, end caps, displacement, and usable fill levels are not included.