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Capsule Segment Calculator

Calculations at a capsule segment. This is a capsule, which is divided in its length and closed at the slice plane. The capsule segment consists of a bisected spherical cap, with a fitting cylindrical segment inserted between.
Enter radius of the sphere and height of the cylinder, as well as the filling height of the capsule. Choose the number of decimal places, then click Calculate.


Euclid Sphere radius (r): Capsule segment
Capsule segment
Slice plane: stadium segment
Cylinder height (h):
Filling height (f):
Segment length (l):
Surface area (A):
Volume (V):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:
s = 2 * √2 * r * f - f²
l = h + √ s² - f²
A = 2hr*arccos(1-f/r) + π*[2rf+f*(2r-f)] + 2h*√2rf-f²
V = h*[r²*arccos(1-f/r) - √2rf-f² * (r-f)/2] + f²*π/3*(3r-f)

pi:
π = 3.141592653589793...

Radius, length and heights have the same unit (e.g. meter), the area has 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.

© Jumk.de Webprojects | Online Calculators

Cite this page: Rechneronline (2025) - Capsule Segment.
Retrieved on 2026-04-22 from https://rechneronline.de/pi/capsule-segment.php




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