Overview
To find the surface area of a curve revolved around an axis, we break the curve into infinitesimal segments ds then sum up the areas of the bands formed by rotating each segment ds about the axis.
Lecture Video and Notes
Video Excerpts
Clip 1: Introduction to Surface Area
Clip 2: Surface Area of a Sphere
Recitation Video
Surface Area of a Torus
Worked Example
Surface Area of a Wine Glass