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CalculusSuperchallengeContextual Applications of Differentiation

Contextual Applications of Differentiation · Superchallenge problem

A hemispherical bowl has radius 66 ft and is being filled with water at 44 ft3^3/min. The volume of water when the depth is hh is V(h)=π3h2(3R−h)V(h)=\dfrac\pi3h^2(3R-h), where R=6R=6 is the bowl's radius. Find the rate at which the depth is rising when h=2h=2 ft.