Section 6.2 Volumes
Let S be any solid. The intersection of S with a plane is called a cross-section. Let A(x) be the area of the cross-section of S in a plane perpendicular to the x-axis.
PPT Slide
Definition of Volume
Show that the volume of a sphere of radius r is V=4?r3/3
The Method of Cylindrical Shells
Finding the inner radius and the outer radius of the cross section involves solving a cubic equation for x----not an easy thing.
In the limit we have an Integral
Homework
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