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MathNet 1999 — Part 01 Question 140

Math Olympiad Vault · MathNet 1999 — Part 01

Question 140

A cross-section of a river is a trapezoid with bases $10$ and $16$ and slanted sides of length $5$. At this section the water is flowing at $\pi\ \mathrm{mph}$. A little ways downstream is a dam where the water flows through $4$ identical circular holes at $16\ \mathrm{mph}$. What is the radius of the holes?