The Surface of Revolution of the Parabola. It is a Quadratic Surface which can be specified by
the Cartesian equation

(1) |

(2) | |||

(3) | |||

(4) |

where , , and is the height.

The Volume of the paraboloid is

(5) |

(6) |

(7) |

**References**

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

Gray, A. ``The Paraboloid.'' §11.5 in *Modern Differential Geometry of Curves and Surfaces.*
Boca Raton, FL: CRC Press, pp. 221-222, 1993.

© 1996-9

1999-05-26