please show all equation, all assumptions and all unit converstion for solving this problem.$(15$ points$)$ A$)$ A large tank, open to the atmosphere is partially filled with two fluids, water on

the bottom and kerosene on top of the water. The water and kerosene do not mix and the

interface between them is flat. A $\frac{3}{4}$ in internal diameter hose is attached to the bottom of the

tank which is open to the atmosphere which can be used to drain the water out of the tank.

How high does one need to hold the hose to make sure all of the water is out of the tank and

only water is in the hose. At this point the water will have stopped draining, so it is no longer

moving. Define variables as you need them.

$(15$ points$)$ B$)$ Initially, when there is both water and kerosene in the tank the hose is held so

that the open end is at the same level as the bottom of the tank. If the velocity coming out of

the hose is known and has a value of $v1,$ what additional information is needed in order to

determine the ratio of water to kerosene in the tank? Show all work