1.

If the volume of a conesin ratio of1:4 and their diameter are in the ratio4.15. Find the ratio of their heights​

Answer»

ANSWER:

Step-by-step explanation:

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


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