MathDB
1999 HMMT Geometry # 4

Source:

March 3, 2024
geometry

Problem Statement

A cross-section of a river is a trapezoid with bases 1010 and 1616 and slanted sides of length 55. At this section the water is flowing at π\pi mph. A little ways downstream is a dam where the water flows through 44 identical circular holes at 1616 mph. What is the radius of the holes?