Textbook Problem

Interpreting Integrals In Exercises 89 and 90, (a) sketch the region whose area is given by the integral, (b) sketch the solid whose volume is given by the integral when the disk method is used, and (c) sketch the solid whose volume is given by the integral when the shell method is used. (There is more than one correct answer for each part.)

${\displaystyle {\int }_0^4\pi y}dy$