Geometry

Question Analysis:
This question compares surface areas of cylinders with swapped dimensions.
The main focus is on understanding how radius and height affect surface area differently.

Key Concept Explanation:
Total Surface Area depends more strongly on radius than height because:
Base areas are πr² (squared dependence)
Lateral area is 2πrh (linear dependence)

Step-by-Step Solution:
Calculate TSA for Cylinder A:
2π × 4 × (6 + 4) = 8π × 10 = 80π
Calculate TSA for Cylinder B:
2π × 6 × (4 + 6) = 12π × 10 = 120π
Compare: 120π > 80π...