Two right cylinders of equal volume are such that their radii are in a ratio of 2:3. Find the ratio of their heights.
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Answer: 9:4
Step-by-step explanation:
Given that
Ratio of heights = h1/h2 = 2/3
Volumes are equal.
V1 = V2
pi (r1)^2 h1 = pi (r2)^2 h2
h1/h2 = (r2)^2/(r1)^2= (r2/r1)^2
h1/h2 = (3/2)^2 = 9/4
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