Calculations at a right circular cylinder. This is a circle, which is elongated perpendicularly by the height h. The circle is the base.
Enter radius and height and choose the number of decimal places. Then click Calculate.
Formulas:
d = √ h² + ( 2 * r )²
A = 2 * π * r * ( h + r )
L = 2 * π * r * h
V = π * r² * h
pi:
π = 3.141592653589793...
Radius, height and diagonal have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1. The lateral surface is the curved part of the surface area.
The straight circular cylinder or rotating cylinder has an infinite number of planes of symmetry, all of which pass through its central axis. It is point-symmetrical about its center and rotationally symmetrical about any rotation about the central axis.
A straight circular cylinder is created when a rectangle is rotated around one of its sides. Other cylinder shapes include the oblique cylinder, the elliptical cylinder and the generalized cylinder. Cylinders are often encountered in the form of tubes, the mathematical equivalent of which is the hollow cylinder. A cylindrical sector has the shape of a slice of cake. When cut off at an angle, a truncated cylinder is created, the slanted side of which is an ellipse. If you divide a cylinder parallel to its central axis, a cylindrical segment is created, which is a little more complicated to calculate. This form is encountered in a lying tank that is partially filled. Mathematically, the calculation is even more demanding for the cylinder wedge, a cylinder that cuts diagonally through the base.
In mechanical engineering, components called cylinders are used in many places and often have this shape. Cans and cups usually have the shape of a hollow cylinder with a base at one end. Last but not least, cylinder is also the name for a correspondingly shaped hat.