A cone of radius $R$ and height $H$, is hanging inside a liquid of density $\rho$ by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is
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$H \rho g \pi R^{2}-F_{a}=F_{B}$
$F_{B}=V \rho g=\frac{1}{3} \pi R^{2} H \rho g$
$\therefore F_{3}=H \rho g \pi R^{2}-\frac{H \rho g \pi R^{2}}{3}=\frac{2}{3} \pi R^{2} \rho G h$
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