Geometry

Question Analysis
This problem involves two cylinders where the second cylinder has a surface area 25 times that of the first cylinder.
The goal is to find the radius of the second cylinder, given the radius of the first.

Key Concept Explanation
If two cylinders are similar (i.e., their dimensions are proportionally scaled), their surface areas scale with the square of the linear scaling factor.
     

Step-by-step Solution
1. Similarity (Proportional Scaling):  
If the cylinders are similar, the scaling factor applies to both radius and height.  
Since surface area scales with :  
   

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