INTEGRATION Due to an excessive amount of rain, the village water storage tank is filling at a rate of 600W(6 +425) litres a day (t 2 0). The mayor is planning to evacuate the village before the water storage tank overows, ooding the valley. The amount of water currently in the water storage tank is 17,894,40077 litres and the mayor wants to know how many days it will take for the water storage tank to be completely full. The water storage tank is a large cylinder which is 20 metres high and has a radius of 30 meters. You can assume that the villagers are not using any of the water storage water and there is no water loss through evaporation. (1) Give the volume of a cylinder. (2) What is the maximum capacity of the water storage tank in litres? (Hint: 1000 litres = 1 cubic metre) (3) Find the function that gives the number of litres in the water storage tank at time 75 days. (4) The village mayor wants to have the town evacuated before the water storage tank is full. At what time 75 would the water storage tank be full? (5) The mayor estimates that it will take 3 days to evacuate the village. When do you recommend that the evacuation begins and why