Cylindrical Segment Calculator

Calculator and formulas for calculating a horizontal cylindrical segment


This function calculates the volume and surface area of a horizontal cylinder segment.

To calculate the cylinder, enter the radius, length, and height. Then click the 'Calculate' button.


Cylindrical Segment Calculator

 Input
Radius r
Height h
Length l
Decimal places
 Results
Width s
Arc length b
Surface area S
Lateral area L
Side area AT
Volume V
Cylinder segment

Cylinder segment formulas


Segment width \(\small{s}\)

\(\displaystyle s = 2 \cdot \sqrt{2 \cdot r \cdot h - h^2} \)

Arc length \(\small{b}\)

\(\displaystyle b= r \cdot 2 \cdot acos \left(\frac{1 - h}{r}\right) \)

Lateral area \(\small{L}\)

\(\displaystyle L = l \cdot b \)

Side area (top) \(\small{A_T}\)

\(\displaystyle A_T = \frac{r \cdot b}{2} - \frac{s \cdot (r - h)}{2} \)

cutting area \(\small{A}\)

\(\displaystyle A = s \cdot l \)

Surface \(\small{S}\)

\(\displaystyle S = L + s \cdot l + 2 \cdot A_T \) \(\displaystyle \ \ = L + A + 2 \cdot A_T \)

Volume \(\small{V}\)

\(\displaystyle V = A_T \cdot l\)
Zylinder-Segment

CylinderOblique cylinderTruncated cylinderCylindrical wedgeHollow cylinderHalf cylinderCylindrical sectorCylindrical segmentElliptical cylinderBicylinderTricylinderHyperboloid



Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?