4.8 Volumes of Solids of Revolution

By the end of your studying, you should know:
Onscreen applet instructions:
The applet depicts approximating the volume of a solid of revolution with a finite number n of disks. Use the pulldown menu to change the value of n.
ExamplesFind the volume of the solid generated by rotating the region R bounded by the y axis, the line y = a, and the curveFind the volume of the solid generated by rotating the region bounded by y = x, y = 3 – x, and x = 4 around the line x = 5. Find the volume of the torus of radius a with inside radius b. AppletsVolume By Disks
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 4.8 Volumes of Solids of Revolution (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Solids of Revolution

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4.7 Areas Between Curves  Table of Contents  4.9 Arc Length 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel