a cone is filled with water. the cube below it is empty as t=o where t is the time in hous. the water begins dripping from the cone at t=0 into a cube with 4" edges at a constant rate of 4 cubic inches per house (note: the colume of a cone=1/3Bh, where B is the base area and h is the height) (the height of the cone is 6" and the radius of the base is 2") 1. find the maximum capacity of the cone 2. when the heigh of the water in the cone is 3", what is the radius of the water in the cone? how much water had drained from the cone? 3. when the height of the water in the cone is 3 inches, what is
the height of the water in the cube? 4. what is the rate at which the water is rising in the cube in inches per hour? 5. when the height of the wate rin the cone is 3 inches, how many hours as the water been dripping into the cube?
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