# Spherical segment

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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

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

## See also

## References

- Kern, William F.; Bland, James R. (1938).
*Solid Mensuration with Proofs*. p. 95–97.

## External links

- Weisstein, Eric W. "Spherical segment".
*MathWorld*. - Weisstein, Eric W. "Spherical zone".
*MathWorld*. - Summary of spherical formulas

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