Assignment:
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. 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?
Provide complete and step by step solution for the question and show calculations and use formulas.