Let a = 5. A swimming pool is 2 units long, a unit-wide, 1 unit deep at the shallow end, and 1 + unit deep at the deep end. Water is being pumped into the pool at 1 / 3 cubic units per minute, and the height of the body of water is 1 unit at the deep end.

a)Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is a surface or shape exposed by making a straight cut through something at a right angle.

b)What percentage of the pool is filled when there is 1 unit of water at the deep end?

c)At what rate is the water level raising if the height is less or equal to a?