MathDB
2004 HMMT Geometry # 3

Source:

March 3, 2024
geometry

Problem Statement

A swimming pool is in the shape of a circle with diameter 6060 ft. The depth varies linearly along the east-west direction from 33 ft at the shallow end in the east to 1515 ft at the diving end in the west (this is so that divers look impressive against the sunset) but does not vary at all along the north-south direction. What is the volume of the pool, in ft3^3?