Two cones have the followinw dimensions : the first has base radius 5 cm and height 6 cm , while the second has base radius 55/6 cm and height 11 cm . Calculate the ratio of the area of the curved surface of the first cone to that of the second cone .
Note that the two cones are similar, in the ratio 6:11
so the areas are in the ratio of (6/11)^2 = 36/121