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Volume by Parallel Cross Sections

The formula below gives the volume of a solid. A(x) is the formula for the area of parallel cross-sections over the entire length of the solid.

Note: The disk method and the washer method are both derived from this formula.

Movie clips (with narration)
Cross-sections concept
Volume by Parallel
Cross-Sections:
The Concept

This can be a slow download. File size is 15.2M.
Cross-sections example
Volume by Parallel
Cross-Sections:
Example
Squares on an Ellipse

This can be a slow download. File size is 16.4M.

 

 


  this page updated 19-jul-17
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
All rights reserved
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