Spherical Segment Calculation

Calculator and formulas for calculating the volume and surface of a spherical segment

Calculate spherical segment


This function calculates the properties of a spherical segment. To perform the calculaton enter the radius of the upper and lower intersection circles and the height of the spherical segment. Then cklick the button 'Calculate'.


Spherical segment calculator

 Input
Radius a
Radius b
Layer height
Decimal places
 Results
Sphere radius
Lateral surface
Surface area
Volume
Distance to top
Distance to center

spherical segment

Formulas for calculating a spherical segment

Sphere Radius

\(\displaystyle r = \sqrt{ a^2 + \left(\frac{ a^2 - b^2 -h^2}{2· h}\right)^2 }\)

Segment Lateral Surface

\(\displaystyle M=2·π·r·h\)

Segment Surface

\(\displaystyle S=π·( 2· r ·h + a^2 + b^2)\)

Segment Volume

\(\displaystyle V=\frac{π · h}{6}·(3·a^2 + 3· b^2 + h^2)\)

Distance Segment to upper edge of sphere

\(\displaystyle dt=\frac{a^2 - b^2 - h^2}{2 · h}\)

Distance Segment to center of sphere

\(\displaystyle dt=\frac{a^2 - b^2 - h^2}{2 · h}\)

Is this page helpful?            
Thank you for your feedback!

Sorry about that

How can we improve it?