Geometry

Question Analysis  
This question involves surface area scaling in similar cylinders.
The main focus is applying the square of the linear ratio to find the new surface area.  

Key Concept Explanation  
For similar cylinders:  
 Height ratio = radius ratio (since they scale uniformly).  
 Surface area ratio = (height ratio)².  

Step-by-Step Solution  
1. Find the height ratio:  
   
2. Surface area scales with the square of the height ratio:  
   
3. Calculate the larger cylinder’s surface area:  
 

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