$2.)$ In an industrial plant, olive oil of density $875\frac{kg}{m^3}$ flows from a tank via a hose of diameter $3\mathrm{.}00cm$

that has a pressure of $3\mathrm{.}3{10}^{5}Pa$ and has a speed of $2\frac{m}{s}.$ The olive oil moves upwards a

distance of $5m$ to another tank where the hose has tapered down to a diameter $1\mathrm{.}00cm.$

a$.)$ Find the speed of the olive oil in the part of the hose of diameter $1\mathrm{.}00cm$

b$.)$ Find the pressure of the olive oil in the part of the hose of diameter $1\mathrm{.}00$cmA closed aluminum $(2700\frac{kg}{m^3})$ can is completely filled with ethyl alcohol $(790\frac{kg}{m^3}).$ The can floats just such that the top of the can is beneath the ocean water $(1025\frac{kg}{m^3}).$ The entire can and its contents are submerged. The interior volume of the can occupied by the alcohols is $3\mathrm{.}55{10}^{-4}{m}^3$

a$.)$ Draw in a properly labeled FBD for the can.

b$.)$ Write out Newton's $2^{nd}$ Law for this situation in the $y-$direction.

c$.)$ Find the total volume used for making the aluminum can.