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parallel cross sections

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

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Cross-sections example
Volume by Parallel
Cross-Sections:
Example
Squares on an Ellipse

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