Cylinder Volume Calculator

Volume equals pi times the radius squared times the height. In other words, it is the area of the circular base, pi times radius squared, multiplied by how tall the cylinder is.

The lateral area is the curved side alone, without the two flat ends. It equals two times pi times the radius times the height, which is the same as unrolling the side into a rectangle and finding its area.

Add the lateral area to the two circular ends. That gives two times pi times the radius times the sum of the radius and the height. It is the amount of material needed to wrap the whole cylinder, top and bottom included.

Both happen to reduce to twenty pi with those particular numbers, so they share the value 62.831853. It is a coincidence of the chosen radius and height, not a rule that holds for cylinders in general.

It is unit free. Enter the radius and height in the same unit, whether centimeters, inches or meters, and the volume comes out in cubic units of that measure while the areas come out in square units.

Work in centimeters so the volume is in cubic centimeters, then divide by 1000, since 1000 cubic centimeters make one liter. A cylinder of 1000 cubic centimeters is exactly one liter.

Not directly. This tool models a solid cylinder. For a pipe wall, calculate the outer cylinder volume and the inner cylinder volume separately, then subtract the inner from the outer.

The radius, which is half the diameter. If you measured across the full circle, divide that number by two before entering it, or the volume will come out eight times too large.

Calculations use the full value of pi and are rounded to six decimal places for display, which is far finer than most real measurements. The precision of your answer is limited by how accurately you measured the cylinder.