Question

Prove that pressure inside a fluid of density ‘d’ at a depth ‘h’ below the surface ‘hdg’, where g is acceleration due to gravity

Answer 1

Let that pressure inside a fluid of density ‘d’ at a depth ‘h’ below the surface ‘hdg’, where g is acceleration due to gravity



$pressure = \frac{force}{area}$
$pressure = \frac{mass \times gravity}{area}$

$pressure = \frac{density \times volume \times gravity}{area}$
$= \frac{gravity \times density \times area \times height}{area}$
so,
$pressure = density \times gravity \times height = dgh$
I hope this will be helpful to you.....

Thanks.....