The math of the shells
5:16
The math of the shells
Jul 15, 2017
imaginary.org
The area model math pennant I posted yesterday got some comments about it being confusing. I wanted to (hopefully!) clear up some of it with a quick area model fraction multiplication video. It’s a step-by-step method, so I can see how just seeing the final result could be a bit🤔. In this short video, 3/4 is multiplied by 1/2. It’s a lot like finding the area of a rectangle, except instead of using the entire length and width, we only use a fraction of each. This method always works, even with
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📌The disk and shell methods are techniques used to find the volume of a solid formed by rotating a region around an axis. The disk method slices the solid into thin, flat disks perpendicular to the axis of rotation, and adds up their volumes. The shell method, on the other hand, uses cylindrical shells formed by slicing the region parallel to the axis. Each method is useful depending on the shape of the region and the axis of rotation, helping to simplify volume calculations in calculus. 📌Supp
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