Calculating Volume of Region Revolved About y=4

[bard]

Find the region enclosed by x=3y and x=-y^2+4. Set up integrals both shell and disc that represent the volume when this region is revolved about y=4.

i got the shell method, how would i represent the disc method>

pi integral(-4,1) (3y-4)^2-(-y^2)^2 --this is wat i got for disc method, though i am sure it is wrong...

 

[NateTG]

It might help you if you make a drawing -- draw the line that you're rotating about, and the region that is being rotated.