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The Summer Hotel is installing a new pool. The pool will be rectangular in shape, with a depth of 10 feet, as shown in the diagram. At one end of the pool, there will be a shallower entrance, with a depth of 4 feet, in the shape of a half cylinder. The rectangular prism that is the pool has a height of 10 ft, width of 10 ft, and length of 50ft. The half cylinder has depth of 4 feet and the width of 5 ft. The hotel is filling the pool and releases 5,000 cubic feet of water into the pool. To the nearest tenth of a foot, what is the height of the water in the rectangular section of the pool?
Sagot :
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