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Sharp Bent Cylinder Calculator

Calculations at a sharp bent right circular cylinder. This is made of two cut cylinders with equal radius and difference between long and short height. They are connected with each other at their elliptic surfaces. The smaller the difference between long and short height is, the larger is the bent angle, this is between 0 and 180 degrees.
Enter the radius and three of the four heights and choose the number of decimal places. Then click Calculate. The angle is calculated and displayed in degrees, here you can convert angle units.


Euklid Cylinder radius (r): Sharp Bent Cylinder
First short height (h1):
First long height (h2):
Second short height (i1):
Second long height (i2):
Bent diameter (x):
Bent angle (α):
Surface area (A):
Volume (V):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:
h2 - h1 = i2 - i1
x = 2 * √ r² + [ (h2-h1) / 2 ]²
α = 2 * arccos{ [ (h2-h1)² + x² - 4r² ] / [ 2 * (h2-h1) * x ] }
A = π r * ( 2r + h1 + h2 + i1 + i2 )
V = π r² * ( h1 + h2 + i1 + i2 ) / 2

pi:
π = 3.141592653589793...

Radius and heights 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.



Last updated on 07/10/2025.

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Cite this page: Rechneronline (2025) - Sharp Bent Cylinder.
Retrieved on 2026-05-17 from https://rechneronline.de/pi/bent-cylinder.php




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