Page 67 - Calculus for the Clueless, Calc II
P. 67
Example 10—
And for our final attraction, we will take the same region and rotate it about the line y = -2.
The next kind of volumes we will consider are rotations again, but we will do it a different way. Think about an
onion with each layer a whole piece. We will add up layer by layer until we get a volume. We will add up
cylindrical shells, tall cylindrical shells. We will see one of these shells, a general illustration, and two
examples.