Calculations at a flat end cylinder, double cylindrical wedge or beveled cylinder. This is the matching counterpart to two equivalent cylindrical wedges with the angle Φ=90°, which touch at their straight edges. Together with those two, it forms a full cylinder. Radius and height are those of the complete zylinder, the length is that of the oblique side faces.
Enter two of the three values of radius, height and length and choose the number of decimal places. Then click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units.
Formulas:
Radius, height and lengths 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.
A flat end cylinder is mirror-symmetrical with respect to two planes. One passes through the straight edge d and the center of the cylinder base. The other plane of symmetry runs along the lengths of the two semi-ellipses l. It possesses rotational symmetry for a rotation of 180 degrees and multiples thereof about the line passing through the midpoint of the straight edge and the center of the cylinder base.
Flat-head screwdrivers have a shape roughly similar to this one. However, in this instance, the bevels are significantly steeper, and the resulting semi-ellipses consequently much longer, than those shown in the example image here. At a screwdriver, the flat end cylinder is elongated by a cylinder of the same radius. During use, the screwdriver rotates around its axis of rotation.
Calculating the corresponding geometry for a Phillips screwdriver would be considerably more complex, as such a tool features curved surfaces that cannot be described using ellipses or other mathematically tractable shapes. The rotational symmetry in this case is twice as high, so for a rotation of 90 degrees and multiples thereof.