Some liquid is filled in a cylindrical vessel of radius R. Let `F_(1)` be the force applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square cross-section of side R. Let `F_(2)` be the force applied by the liquid on the bottom of this new vessel. (Neglect atmosphere pressure). Then

Options

A. `F_(1)=piF_(2)`
B. `F_(1)=F_(2)/pi`
C. `F_(1)=sqrt(pi)F_(2)`
D. `F_(1)=F_(2)`

Answer

D

Explanation

Force on base = mg of liquid implies `F_(1)=F_(2)`