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Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. (Round your answer to three decimal places.) 1 ex2/3 HODE Y Y x x Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. x+y =4 E Since it is given, y = v' 31 _ x2 =>x2 + y2 = 2, the radius of the hemisphere is 9. Therefore, the total volume of the hemisphere is = gm )3 = .71'. Because the axis of revolution is vertical, use ---Se|ect--- horizontal vertical representative rectangle shown in the figure