Question

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in 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

The correct option is C

Maximum in vessel C

Equal volume of liquid is poured in A, B and C given that base area is equal and you know,

Volume $V=a\times h$; where $a$ is the area of the base and $h$ is the height of the cylinder

The vessel C is tapered inwards, therefore the height of water column is maximum in C.

So, the pressure at the bottom of the vessel C will be maximum.

$P=P_0+\rho gh$

Where $P_0$ = Atmospheric pressure, $\rho$ density of liquid, $g$ acceleration due to gravity, $h$ is the height of the liquid column.