Disk/Washer vs. Cylindrical Shell...when to use which?

Опубликовано: 02 Август 2021
на канале: Quoc Dat Phung
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There are two ways to find the volume of three dimensional objects in calculus: the disk washer method and the cylindrical shell method.

What is the disk washer method? What is the cylindrical shell method? That's exactly what I'm going to talk about today. I will show you the differences between the disk washer and the cylindrical shell method. Most importantly, you need to know when to use which method in different situations.

In a nutshell, if your solid of revolution looks like a cucumber cut in half (shown in the video), then you use the dish washer method. If your solid of revolution does not look like a cucumber cut in half, then you use the cylindrical shell method. I did two examples in the video with the shape rotated around the y axis and the x axis and then I use the disk washer and cylindrical shell method to find the volume.

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