olymmath

HMMT 1999 G4

  • Geometry
  • Answer

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 πmph\pi \mathrm{mph}. A little ways downstream is a dam where the water flows through 4 identical circular holes at 16 mph . What is the radius of the holes?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{\sqrt{13}}{4}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/1999/g4 · Tag 6H4P1PWH9H · Edit this page on GitHub · Keys: j next, k previous