Question

A tank is filled by liquid of density p upto height h.The average pressure on the walls of container is

Answer 1

Answer: $P_{ave} = \rho g h_{ave}$

Explanation:

Given that,

Density of liquid = $\rho$

Height of the tank = h

The Pressure is the force upon area.

$P = \dfrac{F}{A}$

$F = PA$

$\int dF = \int P dA$

$P_{ave} = \rho g h_{ave}$

Hence, the average pressure on the wall of container is $P_{ave} = \rho g h_{ave}$.

Answer 2

"Given that,

Density of liquid $= \rho$

Height of the tank = h

Solution:

The Pressure is the force upon area.

$P\quad =\quad \frac { F }{ A }$

$F\quad =\quad PA$

$\int { dF } \quad =\quad \int { PdA }$

${ P }_{ avg }\quad =\quad \rho { gh }_{ avg }$

Hence, the average pressure on the walls of container is

${ P }_{ avg }\quad =\quad \rho { gh }_{ avg }$ "