Question

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in the three vessels. The force on the base will be
(a) maximum in vessel A
(b) maximum in vessel B
(c) maximum in vessel C
(d) equal in all the vessels

Answer 1

(c) maximum in vessel C
An equal volume of liquid is poured in A, B and C given that base area is equal and we know,

V=A×h i.e., volume = area×height

as in C, the cross-sectional area gradually reduces with height, therefore the height of the water column is maximum in C and we know, pressure at the base will be

$P=P_0+\rho gh$

Where $P_0$ = Atmospheric pressure

Therefore the pressure and hence the force(pressure x area) on the base will be maximum in the vessel 'C'.