Half of a Sphere cut by a Plane passing through its Center. A hemisphere of Radius
can be given by the usual Spherical Coordinates

(1) | |||

(2) | |||

(3) |

where and . All Cross-Sections passing through the -axis are Semicircles.

The Volume of the hemisphere is

(4) |

(5) |

(6) |

**References**

Beyer, W. H. (Ed.) *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press, p. 133, 1987.

© 1996-9

1999-05-25