Volume: The Disk Method
Volume of Solids of Revolution
The definite integral can also be used to find the volume of a solid that is obtained by revolving a plane region about a horizontal or vertical line that does not pass through the plane. This type of solid will be made up of one of three types of elements--disks, washers, or cylindrical shells - each of which requires a different approach in setting up the definite integral to determine its volume.
Learn more about the disk method by reading the explanation below.
Practice: Find the volume using the disk method in the following exercises.