Hydraulics and Fluid Mechanics in ME
The resultant upward pressure of a fluid on a floating body is equal to the weight of the fluid displaced by the body. This definition is according to

Buoyancy
Bernoulli’s theorem
Equilibrium of a floating body
Archimedes’ principle

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Hydraulics and Fluid Mechanics in ME
Froude number is significant in

Full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc.
Simultaneous motion through two fluids where there is a surface of discontinuity, gravity forces, and wave making effect, as with ship's hulls
All of the listed here
Supersonics, as with projectile and jet propulsion

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Hydraulics and Fluid Mechanics in ME
Manometric head, in case of a centrifugal pump, is equal to

Suction lift + Loss of head in suction pipe due to friction + Delivery lift + Loss of head in delivery pipe due to friction + Velocity head in the delivery pipe
Energy per kN at outlet of impeller Energy per kN at inlet of impeller
All of these
Work-done per kN of water Losses within the impeller

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