olymmath

HMMT 2004 U18

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On a spherical planet with diameter 10,000 km10,000 \mathrm{~km}, powerful explosives are placed at the north and south poles. The explosives are designed to vaporize all matter within 5,000 km5,000 \mathrm{~km} of ground zero and leave anything beyond 5,000 km5,000 \mathrm{~km} untouched. After the explosives are set off, what is the new surface area of the planet, in square kilometers?

Dataset text NuminaMath olympiads. Quoted with source.

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100,000,000 \pi

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