On the afternoon of december 5, 1939, an unusually warm day in Boston, a 28.4-m-high,28.4 -m-diameter cylindrical metal tank used for storing molasses ruptured. Molasses flooded into the streets in a 10-m-deep stream, killing pedestrians and horses, and knocking down buildings. The molasses had a density of .1500kg/m^3

Part A:

If the tank was full before the accident, what was the total outward force the molasses exerted on its sides? (Hint: Consider the outward force on a circular ring of the tank wall of width dy and at a depth y below the surface. Integrate to find the total outward force. Assume that before the tank ruptured, the pressure at the surface of the molasses was equal to the air pressure outside the tank.)