Geometry

Question Analysis
This question involves applying the volume formula of a sphere to solve a ratio problem.
The main focus is on understanding how changes in the radius affect the volume and using the formula to establish the ratio between the volumes of two spheres.

Key Concept Explanation
The volume formula for a sphere is .
When comparing the volumes of two spheres with different radii, we can express the volumes in terms of the respective radii and then find the ratio between them.

Step-by-Step Solution
Let the radii of the two spheres be and such that .
The volume of the first sphere , and the volume of the second sphere .
To find the ratio , substitute the volume expressions:

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