Overview
This session introduces the "method of shells" for calculating volumes. The chosen example also illustrates the importance of understanding the units used in a mathematical model.
Lecture Video and Notes
Video Excerpts
» Clip 1: Volume of a Cauldron (00:16:00)
From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006
» Clip 2: Warning about Units (00:10:00)
From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Volume of a Paraboloid via Disks
> Download from iTunes U (MP4 - 13MB)
> Download from Internet Archive (MP4 - 13MB)
Volume of Revolution via Shells
> Download from iTunes U (MP4 - 19MB)
> Download from Internet Archive (MP4 - 19MB)
Worked Example
Volume of Revolution via Washers