Question

If the volumes of two cones are in the ratio 1 is to 4 and their diameter are in ratio 4 is to 5 find the ratio of the rights

Answer 1

here the answer......

Answer 2

Let d and D be the diameters of the two cones. So d:D = 4:5 So 2r:2R = 4:5 Hence r:R = 4:5

If v and V be the volumes of the two cones v/V = 1/4. So 1/3 π r^2 h/1/3πR^2 H = 1:4

(r/R)^2 h/H = 1:4 implies (4/5)^2 h/H = 1:4. So h/H = 25/64

Ratio of their heights is 25:64