A cone of radius `R` and height `H`, is hanging inside a liquid of density `rho` by means of a string as shown in figure. The force due to the liquid acting on the slant surface of the cone is

Options

A. `rho pi g HR^(2)`
B. `pi rho g HR^(2)`
C. `(4)/(3)pi rho g HR^(2)`
D. `(2)/(3)pi rho g HR^(2)`

Explanation

`HrhogpiR^(2)-F_(a)=F_(B)`
`F_(B)=Vrhog=(1)/(3)piR^(2)Hrhog`
`:. F_(3)=HrhogpiR^(2)-(HrhogpiR^(2))/(3)=(2)/(3)piR^(2)rhoGh`