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In figure below, VAB, VCD and VEF are similar cones. Their radii are 14 cm, 10.5 cm and 7 cm respectively. If the height of VAB is 42 cm, calculate:
(a) the heights of the cones VCD and VEF.
(b) (i) the ratio of the curved surface areas of cones VCD and VEF.
(ii) the ratio of their volumes.