In geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes.
It can be thought of as a spherical cap with the top truncated, and so it corresponds to a ''spherical frustum''.
The surface of the ''spherical segment'' (excluding the bases) is called spherical zone.
If the radius of the sphere is called ''R'', the radii of the spherical segment bases are ''r''_{1} and ''r''_{2}, and the height of the segment (the distance from one parallel plane to the other) called ''h'', then the volume of the spherical segment is
: $V\; =\; \backslash frac\; \backslash left(3\; r\_1^2\; +\; 3\; r\_2^2\; +\; h^2\backslash right).$
The curved surface area of the spherical zone—which excludes the top and bottom bases—is given by
: $A\; =\; 2\; \backslash pi\; R\; h.$

** See also **

* Spherical cap
* Spherical wedge
* Spherical sector

** References**

*

** External links **

*
*

Summary of spherical formulas

Category:Spherical geometry {{geometry-stub

Summary of spherical formulas

Category:Spherical geometry {{geometry-stub