18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Second Fundamental Theorem, Areas, Volumes

Session 59: Volume of a Parabaloid, Revolving About y-axis

« Previous | Next »


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

Clip 2: Warning about Units

Recitation Video

Volume of a Paraboloid via Disks

Volume of Revolution via Shells

Worked Example

Volume of Revolution via Washers

« Previous | Next »

Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos