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 (00:07:00)
From Lecture 31 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Introduction to Surface Area
> Download from iTunes U (MP4 - 100MB)
> Download from Internet Archive (MP4 - 100MB)
» Clip 2: Surface Area of a Sphere (00:09:00)
From Lecture 31 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Surface Area of a Torus
> Download from iTunes U (MP4 - 46MB)
> Download from Internet Archive (MP4 - 46MB)
Worked Example
Surface Area of a Wine Glass