In many parts of the world, the water for sprinkler system in large hotels and h

Question

In many parts of the world, the water for sprinkler system in large hotels and hospitals is supplied by gravity from cylindrical tanks on or near the roofs of the buildings. suppose such a tank has radius 10 ft and a diamiter of the outlet is 2.5 inches. An engineer has to gaurantee that the water pressure will be at least 2160 lb/ft2 for a perios of 10 minutes. What height should the engineer specify for the tank in to make such a garantee? (pressure at a depth of d feet is P = 62.5d)

Please help me find out how to solve this problem. I have asked my physic teacher for a teorem that may help me solve for this, but his information got me nowere. Thank you.

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