Surface of Revolution
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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. |