In the tank illustrated below, there are two inlets and one outlet, with volumetric flowrates $F_1,F_2,$ and $F_3.$ The outlet flowrate $(F_3)$ is equal to $(h{)}^{0s},$ where $$ is a constant and $h$ is the fluid height. The total tank volume is $V($tank diameter $=$ D$),$ and the initial liquid volume in the tank is $V_i.$ The density in the inlet streams is ${}_1$ and ${}_2,$ and the density of the outlet stream is ${}_3($and these values are constant$).$ The density of inlet stream $2({}_2)$ is twice the value of inlet stream $1.$ What is the correct expression for the height of fluid in the tank $(h)$ at steady$-$state? You can assume that the tank is well$-$mixed and that the temperature is constant. $($circle answer$)$

a$)h=[\frac{(F_1+2F_2){}_4}{{}_3}{]}^2$

d$)h=[\frac{4(F_1+F_2-F_3){}_1}{D^2}{]}^2$

b$)h=$

e$)h=[\frac{4(F_1+F_2-F_3)}{D^2}\frac{({}_1+{}_2)}{{}_3}{]}^2$

c$)h=[\frac{(F_1+2F_2)p_2}{D^2}{]}^2$

f$)h=[\frac{2(F_1+F_2-F_3){}_3}{({}_1+{}_2)}{]}^2$

g$)$ None of the above

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