You will be able to find the volume of a solid of revolution using disks and washers
As we saw from one of the dozens of warm-up questions, rotating a rectangle about an axis creates a cylinder. When the height of that cylinder is slight, we usually refer to it as a disk. For the Disk Method, our function will determine radius of that disk. In this video, allow me to demonstrate how a definite integral can be use to find the accumulation of an infinite number of those disks. Duration: 5:43
The next handful of videos will demonstrate how to put the Disk Method into practice. When doing these problems, the approved strategy involves drawing a representative rectangle that you can then revolve into a disk. This rectangle and resulting disk will help you to find the radius function for your definite integral. Duration: 6:59
The solid from Exercise 1 formed a delicious foil-wrapped chocolate egg. Exercise 2 will treat us to an equally tasty bit of confectionery. Duration: 4:30
Exercise 3 continues the trend of candy-based solids of revolution. This time we have a horizontal representative rectangle which will revolve around the y-axis. But first, allow me to correct a severe oversight from the previous video. Duration: 8:13
You'd have to be currently collecting Social Security funds to be old enough to recognize the candy-of-revolution from Exercise 4. Luckily, I have an etching from an ancient scroll that depicts one of these sour treats. Duration: 7:14