var('t', 'z')
C = parametric_plot3d((sqrt(25 - 20*(cos(t))^2), sqrt(20)*cos(t), sqrt(20)*sin(t)), (t, 0, 2*pi), color = "black")
L = parametric_plot3d((3 + (8/3)*t, 4 - 2*t, 2 + 4*t), (t, -1, 1), color = "black")
S1 = parametric_plot3d((5*cos(t), 5*sin(t), z), (t, 0, 2*pi), (z, -6, 6), color = "green", opacity = 0.5)
S2 = parametric_plot3d((x, sqrt(20)*cos(t), sqrt(20)*sin(t)), (t, 0, 2*pi), (x, -6, 6), color = "blue", opacity = 0.5)
show(C + L + S1 + S2)
︠9bd7a630-5f38-42a5-880e-aef5cecde714︠
