olymmath

HMMT 2001 K3

  • Calculus
  • Answer

A balloon that blows up in the shape of a perfect cube is being blown up at a rate such that at time tt fortnights, it has surface area 6t6 t square furlongs. At how many cubic furlongs per fortnight is the air being pumped in when the surface area is 144 square furlongs?

Dataset text NuminaMath olympiads. Quoted with source.

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3 \sqrt{6}

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