6.5 Volumes (Washer Method)
The washer method is a technique used in calculus to find the volume of a solid of revolution by revolving a region in the plane between two curves around an axis. It's particularly useful for finding volumes of irregularly shaped solids or those with holes. The method involves subtracting the volume of the hole from the volume of the outer region using the concept of washers. The washer method is a valuable tool for finding volumes of solids with holes, providing a systematic approach to calculating these volumes through integration. Understanding the geometry of the washers and correctly setting up the integral is crucial to obtaining accurate volume calculations.
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