Surface area of hemispherical tank Per the situation described in Exercise 39, what is the rate of change of the area of the exposed surface of the water when the water is 5 m deep?
Filling a hemispherical tank A hemispherical tank with a radius of 10 m is filed 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
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