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.
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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 \(\small{V}\)
\(\displaystyle V = A_T \cdot l\)

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