A hemispherical tank with a radius of 9 m is lled from an inow pipe at a rate of5 m3 1' min {see gure]. How fast is the water level rising when the water level is 3 m from the bottom of the tank'? {Hint The volume ofa cap of thickness h Ih2{3r r11 sliced from a sphere of radius r is 3 J Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h. D {"l'ype an exact answer, using 1 as needed.)