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11. Find the volume of the solid of revolutio generated when the region bounded by y = x(x - 2) and y = x is rotated about the line y = 4. Rotated about a line parallel to the r=axis all must be in terms of x. The intersection points of the two curves: x(x - 2) = x are x = a and x=b (find the values) The outer radius will be and the inner radius is R(x)= r(x) = ... The volume of the solid using the washer method will be (show all integration and substiute the values of the limits) = = Since calculators are not allowed in this module you may leave the constant as say (20-1/4+1/7) (just and example.) Volume (V) = Sª{x(R(x)) — ñ(r(x))²]da a π constant cubic units