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You can plot the solutions from the solve command by treating them as parametric equations for a surface and a line. Note that one of the solutions listed by solve is a subset of another of the solutions.

p=parametric_plot3d((r1,-r1,r2),(r1,-4,4),(r2,-2,2))
p+=parametric_plot3d((0,0,r3),(r3,-2,2),thickness=3)
p+=parametric_plot3d((r4^3,0,r4),(r4,-2,2),thickness=3)