Calculations at a vertical halved right circular cylinder or semicylinder. This is a semicircle, which is elongated perpendicularly by the height h. The semicircle is the base. The straight side surface is a rectangle.
Enter the radius of the calinder and the height and choose the number of decimal places. Then click Calculate.
Formulas:
d = √ h² + r²
A = π * r * ( h + r ) + 2 * r * h
L = π * r * h
V = π * r² * h / 2
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 volume of a half cylinder is, of course, half that of the corresponding cylinder. The surface area is more than half, the rectangular area of the resulting cut surface has to be added.
This half cylinder is a special form of the generalized cylinder. It has two planes of symmetry that are perpendicular to each other. One of these planes passes through the middle of the two straight sides on the lateral surface, perpendicular to the rectangular side surface. The other plane of symmetry passes perpendicularly through the two bases and the middle of the straight sides that adjoin these bases.
There are three other methods for bisecting a cylinder. If you cut straight through the middle of the lateral surface instead of through the middle of the bases, you will of course only create two more cylinders of equal size. If the cut is diagonally through the middle, you get two cut cylinders. Finally, if you cut through two opposite points on the edge of both bases, you will create two diagonally halved cylinders.
This half cylinder can also be considered as a special case of the cylindrical segments with a height equal to half the radius, as well as a special case of the cylindrical sectors with an angle of 180 degrees.