Geometry

Question Analysis  
This question involves linking the surface area of a sphere to its volume.
The main focus is on using the surface area formula to find the radius first, then applying the volume formula.  

Key Concept Explanation  
1. Surface Area of a Sphere: , where is the radius.  
2. Volume of a Sphere: .  
The radius acts as the bridge between the two formulas.  

Step-by-Step Solution  
1. Find the radius from the surface area:  
   
  Divide both sides by :  
   
  Divide by 4:  
   
  Take the square root:  
   (r is non-negative)
2. Calculate the volume using the radius:  
  

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