2004 HMMT Geometry # 3
Source:
March 3, 2024
geometry
Problem Statement
A swimming pool is in the shape of a circle with diameter ft. The depth varies linearly along the east-west direction from ft at the shallow end in the east to 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 ft?