A spherical balloon’s surface area increased from to square ...

Question Analysis
This question tests understanding of how changes in surface area relate to changes in radius.
The main focus is on recognizing how surface area scales with radius.

Key Concept Explanation
Surface area of a sphere is proportional to the square of the radius:

We define the factor .
Substitute the expressions for and into the ratio:
.
The terms cancel out, and we are left with

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