Surface of Revolution | Woody Calculus

Surface Area of Revolution Explained: Why 2πr ds Works

July 17, 2026 Brian M. Woody Leave a comment

Woody Calculus diagram showing a curve rotating around the x-axis to create a three-dimensional surface of revolution.

Surface area of revolution measures the curved surface created when a graph rotates around an axis. This Woody Calculus lesson derives dS = 2πr ds, explains the x-axis and y-axis formulas, and solves the complete example y = √x on [0,4].

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