olymmath

SHARYGIN 2005 Problem 21

    The planet Tetraincognito covered by ocean has the shape of a regular tetrahedron with an edge of 900900 km. What area of the ocean will the tsunami' cover 22 hours after the earthquake with the epicenter in a) the center of the face, b) the middle of the edge, if the tsunami propagation speed is 300300 km / h?

    Dataset text AI-MO AoPS. Quoted with source.

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