Oblique Cylinder Calculator

Calculations at an oblique circular cylinder. Cavalieri's principle says, that the volume of the oblique cylinder is similar to that of the right cylinder with equal base and height.
Enter radius, angle and side length or height and choose the number of decimal places. Then click Calculate. Please enter angles in degrees, here you can convert angle units.

	Base radius (r):			Base: circle
	Angle of slope (α):
	Side length (a):
	Height (h):
	Lateral surface (L):
	Surface Area (A):
	Volume (V):
	Surface-to-volume ratio (A/V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Radius, length and height 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).

Cavalieri's principle was named after the Italian monk, mathematician, and astronomer Bonaventura Francesco Cavalieri, who discovered it in 1635. It states that two bodies have the same volume if all their cross-sectional surfaces parallel to the base have the same area and the two bodies also have the same height. This can be illustrated by a stack of coins. The volume does not change whether the stack is straight or oblique. Of course, this also does not change if the thickness of the coins is reduced and their number increased accordingly. In the case of round coins, whose thickness approaches zero and whose number approaches infinity, this stack increasingly resembles a cylinder, be it straight or oblique. This is an early historical example of integral calculus, which is based on ideas from the ancient Greeks.
The oblique circular cylinder is point-symmetric about its center but has no planes of symmetry. It is rotationally symmetric at an angle of 180 degrees and multiples thereof when rotated along the bisecting plane through its center.

Last updated on 03/31/2026. Author: Jürgen Kummer

© Jumk.de Webprojects | Online Calculators





↑ up

---