Question

question 3 of 10 if two cylinders are similar and the ratio between the lengths of their edges is 2:5, what is the ratio of their volumes? a. 4:25 b. 8:20 c. 2:5 d. 8:125

Explanation:

Step1: Recall volume - ratio formula for similar solids

For two similar solids, if the ratio of their corresponding linear dimensions (such as edge - lengths) is \(a:b\), the ratio of their volumes is \(a^{3}:b^{3}\).

Step2: Identify \(a\) and \(b\)

Here, \(a = 2\) and \(b = 5\) since the ratio of the lengths of their edges is \(2:5\).

Step3: Calculate \(a^{3}\) and \(b^{3}\)

\(a^{3}=2^{3}=8\) and \(b^{3}=5^{3}=125\). So the ratio of their volumes is \(8:125\).

Answer:

D. 8:125