olymmath

HMMT 2004 G3

  • Geometry
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A swimming pool is in the shape of a circle with diameter 60 ft . The depth varies linearly along the east-west direction from 3 ft at the shallow end in the east to 15 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\mathrm{ft}^{3} ?

Dataset text NuminaMath olympiads. Quoted with source.

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8100 \pi

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