A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end,
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A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end (see figure). Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
(a) What percent of the pool is filled?
(b) At what rate is the water level rising?
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