Cylinder Calculator
Volume and surface area of a cylinder from radius and height.
How it works
Volume = πr²h; Surface = 2πr(r + h)
Volume is base area × height; surface area includes both circular ends and the side. Assumes a closed cylinder.
FAQ
Surface area of an open cylinder?
For an open top: surface = πr² + 2πrh (one end removed).
Worked example
Radius 3, height 5:
Volume π×3²×5 ≈ 141.37; lateral 2π×3×5 ≈ 94.25; total 94.25 + 2×28.27 ≈ 150.80.
Notes and limitations
Volume is base area × height; lateral area is circumference × height. For containers, subtract wall thickness or you will overestimate capacity.