A-LevelMathematicsDifferential equationsOct/Nov 2024Paper 3 Q1013 Marks
A balloon in the shape of a sphere has volume V and radius r. Air is pumped into the balloon at a constant rate of 40π starting when time t = 0 and r = 0. At the same time, air begins to flow out of the balloon at a rate of 0.8πr. The balloon remains a sphere at all times.
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