 #1
 54
 4
Homework Statement:
 (question is attached below)
Relevant Equations:

x^2+y^2=r^2
dV=rdrdzdΘ
I am trying to solve it using cylindrical coordinates, but I am not sure whether the my description of region E is correct, whether is the value of r is 2 to 4, or have to evaluate the volume 2 times ( r from 0 to 4 minus r from 0 to 2), and whether is okay to take z from r^2/2 to 8