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Found problems: 1

1994 Abels Math Contest (Norwegian MO), 1a
Tags: 3D geometry , geometry , cyclinder , sphere
In a half-ball of radius $3$ is inscribed a cylinder with base lying on the base plane of the half-ball, and another such cylinder with equal volume. If the base-radius of the first cylinder is $\sqrt3$, what is the base-radius of the other one?