The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:
Question and options
The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:
Answer and explanation
Correct answer: C - \(3:4\)
V is proportional to r^2*h, so h1/h2 = (V1/V2)/(r1/r2)^2 = (1/3)/(4/9) = 3/4. The ratio of heights is 3:4.
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