Geometry

Question Analysis
This question involves using a relationship between the height and radius of a cone along with the volume formula to find the radius.
The main focus is on substituting the relationship into the formula and solving the resulting equation.

Key Concept Explanation
Since , we substitute this into the volume formula .
So the formula becomes .
Then we can solve for when is known.

Step - by - Step Solution
Substitute into the volume formula: .
Given , we have the equation

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