A cylinder-shaped tank is 20m high and its base has a surface area of 5m2. This
tank has 4 holes causing leaks. These holes are located at a height of 15, 10, 5 and 0
meters (i.e. at the bottom of the tank) respectively. Suppose that the water is flowing
out of each hole at a rate (measured in liter/hour) equal to the square root of the
difference in volume (in liters) between the water at the current level and the water
at the hole level(as long as the water is above that particular hole).

Set up a differential equation for V (t), the volume in litres of water in the tank
after t hours, usi

Question

A cylinder-shaped tank is 20m high and its base has a surface area of 5m2. This
tank has 4 holes causing leaks. These holes are located at a height of 15, 10, 5 and 0
meters (i.e. at the bottom of the tank) respectively. Suppose that the water is flowing
out of each hole at a rate (measured in liter/hour) equal to the square root of the
difference in volume (in liters) between the water at the current level and the water
at the hole level(as long as the water is above that particular hole).

Set up a differential equation for V (t), the volume in litres of water in the tank
after t hours, usi