Ascale is adjusted so that when a large, shallow pan is placed on it, it reads zero. a source of water at height h=2.5m above is turned on and water falls into the pan at a rate r=0.14kg/s. determine (a) a formula for the scale reading as a function of time t and (b) the reading for 9s. (c) repeat (a) and (b),replacing the shallow pan with a tall, narrow cylindrical container of area a=20cm2. hint: while for the shallow pan, you may neglect the change in the water height, for the cylinder, you need to consider the rise in the water level.