often the sprinkler systems in large hotels and hospitals are supplied by gravity from cylindrical tanks on or near the roofs of the buildings. Suppose such a tank has radius 15 feet and the diameter of the outlet is 5 inches. When a fire happens, the electrical system may fail causing a 10 minute delay in the sprinkler system. An engineer has to insure that the water pressure will be at least 2170 lb/square feet for a period of at least 10 minutes. What height should the engineer specify for the tank to be constructed in order to meet such a requirement? Use the fact the pressure = density ti

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