Question

what is the similarity ratio of the smaller to the larger similar cylinders? enter your answer as a:b​

Answer 1

2 : 3

Explanation:

Given:

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

`\frac{\textrm{Radius of small cylinder}}{\textrm{Radius of larger cyclinder}}=(12)/(18)=(2)/(3)=2:3`

`\frac{\textrm{Height of small cylinder}}{\textrm{Height of larger cylinder}}=(20)/(30)=(2)/(3)=2:3`

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