Find the volume and surface areas of a cylinder. Enter the radius and height.
Usage Tip
Unroll the side of a cylinder and it is a rectangle: height by the circumference (2πr).
total surface = 2πr² + 2πr×height
Its volume is the base area times the height; the curved side unrolls into a rectangle.
Lateral area is just the curved side.
Volume is base area times height.
A cylinder is a circular base extended straight up to a height. Its volume is the base area times the height, or pi times the radius squared times the height. The lateral surface, the curved side, equals the circumference times the height, and the total surface area adds the two circular ends.
Because the radius is squared in the volume formula, small errors in measuring the radius matter more than errors in the height. Doubling the radius quadruples the volume, while doubling the height only doubles it. Use the inside radius when working out how much a tank, pipe, or can can hold, and the outside radius when you need material or paint for the outer surface.