Main Page | See live article | Alphabetical index In engineering, manufacturing, and mathematics; a "solid of revolution" is some object which can be visualized by graphinging a function, and then rotating that graph around some axis, an "axis of revolution", so as to create a three-dimensional object. A "surface of revolution" can be created by rotating an edge around an axis; such an area is equal to 2π ∫ (x) [√ (1 + [f ' (x)]2)] (dx). The quantity, [√ (1 + [f ' (x)]2)], comes from the arc-length formula. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.