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The question involves finding the volume of the solid generated by revolving the region bounded by y = x, y = 0, and y = 4 around the line x = 6. I tried doing [tex]\int[/tex]

[tex]^{4}_{0}[/tex]16 - (4-y)[tex]^{2}[/tex] dy + [tex]\int[/tex][tex]^{4}_{0}[/tex]36-16 dy but that did not work out. I am fairly sure that the part of it that is giving me problems is the little extra area between x = 6 and x = 4, as the y = x and x =6 do not intersect due to the y = 4 boundary...

There is also another question like this that has been giving me problems, involving fining the volume of the solid generated by x = y^2 and x = 4 around the line x = 6; would this be done the same way?

Thanks!