Solid of revolution
In engineering, manufacturing, and mathematics; a "solid of revolution" is some object which can be visualized by graphing 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.
Referenced By
Calculus | Derivative | Derivative (calculus) | Differentation | Differentiable function | Differential calculus | List of mathematical topics (S-U) | Taylor's theorem | Taylors theorem
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