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solid of revolution

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Also known as volume of revolution

solid figure obtained by rotating a plane curve around a line that lies on the same plane

~12 min read

Encyclopedic overview

Rotating a curve. The surface formed is a surface of revolution; it encloses a solid of revolution. Solids of revolution (Matemateca Ime-Usp)

In geometry, a solid of revolution is a solid figure obtained by rotating a plane figure around some straight line (the axis of revolution), which may not intersect the generatrix (except at its boundary). The surface created by this revolution and which bounds the solid is the surface of revolution.

Excerpted from Wikipedia’s “solid of revolution” article, available under the CC BY-SA 4.0 licence.