Session 79: Surface Area

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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

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» Clip 1: Introduction to Surface Area (00:07:00)

» Accompanying Notes (PDF)

From Lecture 31 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Surface Area of a Sphere (00:09:00)

» Accompanying Notes (PDF)

From Lecture 31 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Surface Area of a Torus

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Worked Example

 

Surface Area of a Wine Glass

 

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