Geometry

Question Analysis  
This question reinforces the property that all spheres are similar.
The main focus is recognizing that diameter, radius, or circumference changes do not affect similarity.  

Key Concept Explanation  
All spheres are similar regardless of size. Any two spheres, regardless of their radii/diameters, will be similar.  

Step-by-Step Solution  
Option A: Sphere B (Radius = 6 cm)  
Sphere Q’s diameter = 12 cm → radius = 6 cm.  
Sphere B has the same radius as Sphere Q.  
Conclusion: Congruent (a special case of similarity with scale factor 1). Similar to Sphere Q.  
Option B: Sphere C (Diameter = 24 cm)  
Sphere Q’s diameter = 12 cm → Scale factor for diameter = .  
All linear dimensions (radius, circumference) of Sphere C are scaled by 2 relative to Sphere Q.  
Conclusion: Similar with scale factor 2. Similar to Sphere Q.  
Option C: Sphere D (Circumference = 12π cm)  
Circumference of a sphere = .  
For Sphere D:

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