# Spherical segment

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In geometry, a **spherical segment** is the solid defined by cutting a sphere 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 radius of the spherical segment bases *r _{1}* and

*r*, and the height of the segment (the distance from one parallel plane to the other) called

_{2}*h*, the volume of the spherical segment is then:

The area of the spherical zone —which excludes the top and bottom bases— is given by: