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MathNet 2003 — Part 01 Question 136

Math Olympiad Vault · MathNet 2003 — Part 01

Question 136

8 balls of radius $1$ are placed in a cylinder in two layers, with each layer containing $4$ balls. Each ball is in contact with $2$ balls in the same layer, $2$ balls in the other layer, one base and the lateral surface of the cylinder. Then the height of the cylinder is ________.