Integral Calculus 2

This object illustrates the disk and shell methods for finding volumes of rotation using integration. Take the region bounded by the graph of the function f(x) = -x^2 - x + 8 and the x-axis from x=0 to x=2:

and rotate it about the y-axis. In the middle is the resulting solid of revolution 

On one side is the approximation of the volume using four disks, and on the other side is the approximation of the volume using four shells. To make it clear which is which, I have shown the same model with the pieces taken apart.

 This model is "Volumes of Hanoi" designed by mathgrrl.