HMMT 1999 K9
- Calculus
- Answer
What fraction of the Earth's volume lies above the 45 degrees north parallel? You may assume the Earth is a perfect sphere. The volume in question is the smaller piece that we would get if the sphere were sliced into two pieces by a plane.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{8-5 \sqrt{2}}{16}
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