Fluid and gas pressure

Fluid pressure
$$p = \rho\cdot g\cdot h$$
p - pressure
ρ - density
g - free fall acceleration
h - height
Find   It is known that:
      =   
Calculate 'p'

Connected (communicating) vessels
$$\frac{h_1}{h_2} = \frac{\rho2}{\rho1}$$
h1, h2 - heights
ρ1, ρ2 - densities
Find   It is known that:
      =   
Calculate 'h1'

Archimedes (buoyant) force
$$F_{a} = \rho_{sk}\cdot g\cdot V$$
F_a - Archimedes force (buoyant force )
ρ - density
g - free fall acceleration
V - bulk (volume)
Find   It is known that:
      =   
Calculate 'F_a'

The volume of fluid flowing through the pipe
$$V = S\cdot v\cdot t$$
V - bulk (volume)
S - cross-sectional area
v - speed (velocity)
t - time
Find   It is known that:
      =   
Calculate 'V'

Velocity of the fluid flowing out of the pipe
$$v = \sqrt {\frac{2\cdot p}{\rho}}$$
v - speed (velocity)
p - pressure
ρ - density
Find   It is known that:
      =   
Calculate 'v'

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