# Surface of Revolution

A surface generated by rotating a two-dimensional curve about an axis.

Surface of revolution is a college-level concept that would be first encountered in a Calculus II course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.

### Prerequisites

Integral: | An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus. |

Surface: | A surface is a two-dimensional piece of three-dimensional space. |

Surface Area: | Surface area is the area of a surface that lies in three-dimensional space, or the total area of all surfaces that bound a solid. |

Volume: | In mathematics, volume is the amount of space occupied by a closed three-dimensional object. |