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].
Gabriel’s Horn is one of the most unforgettable paradoxes in Calculus 2: a solid with finite volume but infinite surface area. Learn how the disk method gives volume π, while the surface area integral diverges using improper integrals and comparison.