Session 58: Volume of a Sphere, Revolving About x-axis

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We calculate the volume of a sphere -- or of part of a sphere -- by using a definite integral to sum the volumes of infinitesimally thin vertical slabs cut from the sphere.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Volume of a Sphere (00:10:00)

» Accompanying Notes (PDF)

From Lecture 22 of 18.01 Single Variable Calculus, Fall 2006

Worked Example


Volume of a Spheroid


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