On the afternoon of January 15, 1919, an unusually warm day in Boston, a 28.1 m high, 27.4 m diameter cylindrical metal tank used for storing molasses ruptured. Molasses flooded the streets in a 9 meter deep stream, killing pedestrians and horses and knocking down buildings. The molasses had a density of 1600 kg/m3. If the tank was full before the accident, what was the total outward force the molasses exerted on its sides?
[tex] F= A\deltaP [/tex]
[tex] P= \rho gh [/tex]
[tex] F= \int (\rho g)ydy [/tex]
[tex] F= (\rho g) 1/2y^2 [/tex]
The Attempt at a Solution
I tried using the above equations other than the integral equations to solve. Which led me to having [tex] F= (9* \pi27.4)(1600)(9.81)(9) [/tex]
I was told this was incorrect and should try to integrate but Im not really sure how to use the integration formulas.