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Filling a hemispherical tank A hemispherical tank with a radius of 10 m is filled from an inflow pipe at a rate of 3 m3/min (see figure). How fast is the water level rising when the water level is 5 m from the bottom of the tank? (Hint: The volume of a cap of thickness h sliced from a sphere of radius r is πh2(3r − h)/3.)
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