Geometry

Question Analysis  
This question links the surface area of a cube to a sphere’s surface area, then asks for the sphere’s volume.
The main focus is on using surface area to find the sphere’s radius and then its volume.  

Key Concept Explanation  
1. Surface Area of Cube: .  
2. Surface Area of Sphere: .  
3. Volume of Sphere: .  

Step-by-Step Solution  
1. Calculate the cube’s surface area:
 

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