Spherical Segment Calculator
What is the volume between two parallel cuts through a sphere? Enter the values below to calculate the result.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Outer or sphere radius (length) | Enter the radius, which is half the diameter. |
| First y coordinate (length) | Enter first y coordinate in length; use the same basis as the other measurements. |
| Second y coordinate (length) | Enter second y coordinate in length; use the same basis as the other measurements. |
Understanding your result
Read volume (length^3), curved (length^2) in the units and model stated on this page. The formula h=y2-y1 · volume=pi*(R*R*h-(y2*y2*y2-y1*y1*y1)/3) · curved=2*pi*R*h defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Entering the diameter where the radius is requested.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What is the volume between two parallel cuts through a sphere?
What is the volume between two parallel cuts through a sphere? Enter the values below to calculate the result.
Common uses
- What is the volume between two parallel cuts through a sphere
How it works
h=y2-y1; volume=pi*(R*R*h-(y2*y2*y2-y1*y1*y1)/3); curved=2*pi*R*h
Worked example
Enter Outer or sphere radius: 5 length; First y coordinate: -1 length; Second y coordinate: 1 length. Results: volume: 154.98523757709646 length^3; curved: 62.83185307179586 length^2.