Disk Method
The Disk Method is a technique used in calculus to find the volume of a solid of revolution. This method involves rotating a region around a horizontal or vertical axis, creating a series of circular disks. The volume of each disk is calculated using the formula for the area of a circle, A = \pi r^2 , where r is the radius of the disk.
To apply the Disk Method, you set up an integral that sums the volumes of these disks across the interval of interest. The limits of integration correspond to the bounds of the region being revolved. This method is particularly useful for solids generated by rotating functions, such as those represented by functions in coordinate systems.