Respuesta :

Answer:

2 : 3

Step-by-step explanation:

Given:

The two cylinders are similar. So, their corresponding dimensions must be in proportion.

[tex]\frac{\textrm{Radius of small cylinder}}{\textrm{Radius of larger cyclinder}}=\frac{12}{18}=\frac{2}{3}=2:3[/tex]

[tex]\frac{\textrm{Height of small cylinder}}{\textrm{Height of larger cylinder}}=\frac{20}{30}=\frac{2}{3}=2:3[/tex]

Therefore, the similarity ratio of the smaller to the larger similar cylinders is 2 : 3.