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CalculusSuperchallengeContextual Applications of Differentiation

Contextual Applications of Differentiation · Superchallenge problem

Water flows between two connected cylindrical tanks of radii 33 m and 55 m so that the total volume of water is always 200π200\pi m3^3. The water level in the first tank is h1(t)=5+0.2t2h_1(t)=5+0.2t^2 meters. Find the rate at which the level h2(t)h_2(t) in the second tank is changing, in m/min, at t=3t=3 minutes.