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MathNet 2008-part-02 — 165 problems (EN–VI) Question 152

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 152

In a square-shaped area on the ground with side length $12\text{ m}$ a cylindrical hole with diameter $8\text{ m}$ is dug. The dug soil is spread evenly over the square-shaped area outside of the hole, and then it is pressed to the same volume it had before the digging. How deep should the hole be dug so that the hole is $3\text{ m}$ deep?