HMMT 2009 F4
- General 2
- Answer
A torus (donut) having inner radius 2 and outer radius 4 sits on a flat table. What is the radius of the largest spherical ball that can be placed on top of the center torus so that the ball still touches the horizontal plane? (If the plane is the table, the torus is formed by revolving the circle in the plane centered at with radius 1 about the axis. The spherical ball has its center on the -axis and rests on either the table or the donut.)
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{9}{4}
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