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Unformatted text preview: space it passes through makes up the solid. A solid defined in this way is called a solid of revolution . To find the volume of a solid of revolution, you can sometimes divide the region into slices. Each slice resembles a disk, so this method is called the disk method . To find the volume, just integrate the areas of the disks across the given interval. The radius of a given disk is equal to the height of the original region. The area of a disk equals the area of a circle. Once you find the area, just integrate. Notice that sometimes you can find shortcuts in the integral based upon symmetry or other properties of the region. Setting up the integral is the tough part of finding volumes. Once you have the integral, evaluating it is a piece of cake....
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.
- Spring '10