Question
A cylinder of length l and area of cross section a is filled with liquid of density ρ to a height h. What is the pressure at the bottom due to height column of liquid?
Solution
Given,
Length of the cylinder = l
Area of cross-section = A
Density of the liquid = ρ
Height of the liquid column = h
Therefore, pressure at the bottom due to height column of liquid is given by,
F = mg
⇒ PA = mg
and,
m = ρV = ρhA
Therefore, P = ρgh
Thus, pressure due to height column of liquid is given by ρgh.
Length of the cylinder = l
Area of cross-section = A
Density of the liquid = ρ
Height of the liquid column = h
Therefore, pressure at the bottom due to height column of liquid is given by,
F = mg
⇒ PA = mg
and,
m = ρV = ρhA
Therefore, P = ρgh
Thus, pressure due to height column of liquid is given by ρgh.
