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Dima020 [189]
3 years ago
8

Two circular cylinders are similar. The ratio of the areas of their bases is 9:4. Find the ratio of the volumes of the similar s

olids
Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

27 : 8

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b, then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Here the ratio of areas = 9 : 4, thus

ratio of sides = \sqrt{9} : \sqrt{4} = 3 : 2

ratio of volumes = 3³ : 2³ = 27 : 8

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