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

Question

3 years ago

8

olids

1 answer:

OleMash [197] · Answer 1 · 2022-04-08T02:20:33+03:00

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