Calculations at a right cut cylinder or truncated cylinder. A cut cylinder is a diagonally truncated circular cylinder where the section passes through the lateral surface. If the section passes through the base, the result is a cylindrical wedge. If the section passes exactly through the edge between the lateral surface and the base, then the it is a diagonally halved cylinder. A cut cylinder can be thought of as consisting of a cylinder and a diagonally halved cylinder, both of which have the same radius.
Enter radius and both heights and choose the number of decimal places. Then click Calculate.
Formulas:
a = √ r² + ( ( h2 - h1 ) / 2 )²
A = π r * ( r + a + h1 + h2 )
L = π r * ( h1 + h2 )
V = π r² * ( h1 + h2 ) / 2
pi:
π = 3.141592653589793...
Radius, heights and semi-axis have the same unit (e.g. meter), the areas have 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.
At the point where the plane intersects the cylinder, an ellipse is formed. The more oblique the plane is relative to the cylinder, the further the ellipse moves away from a circle. It therefore becomes more eccentric, and the more its major and minor axes diverge. A cut cylinder is mirror-symmetrical to the plane that passes perpendicularly through the major axis and through the center of the opposite circle at the base.
If the cylinder is divided by the plane, two cut cylinders are created, which can be of equal or different sizes. If both parts are of equal size and are rejoined at the elliptical intersection surfaces in opposite directions, a bent cylinder is formed. If a cylinder is cut off at both ends at an angle, parallel to each other, the result is an oblique cylinder.