**Applications of Integration: Area and Volume – She Loves Math**
https://www.shelovesmath.com/calculus/integral-calculus/applications-integration-area-volume/

Volumes of Solids by Cross Sections. Now that we know how to get areas under and between curves, we can use this method to get the volume of a three-dimensional solid, either with cross sections, or by rotating a curve around a given axis. Think about it; every day engineers are busy at work trying to figure out how much material they’ll need for certain pieces of metal, for example, and ...

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