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

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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

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

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Course Info

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