A jar shown in figure is filled with a liquid of density  $\rho$. The jar is placed in vacuum. Cross-section of the jar is circular and base is having a radius R. The force exerted by the liquid column on the base of the jar is  $\rho g(ax+by+cz)\pi R^k$. Find k (x+y+z).

When jar is placed in vacuum, the liquid level rises up to the top of jar. The force exerted  by liquid on the base of jar =force due to vertical column of liquid of height  $(a+b+c)+$ vertical  downward

Component of thrust F acting on the portion BC of jar
$=(a+b+c)\rho g\times \pi R^2+F\sin 60°$ 
= greater $(a+b+c) \rho g\times \pi R^2$