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

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

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Hydraulics and Fluid Mechanics in ME
Mechanical efficiency of a centrifugal pump is the ratio of

Manometric head to the energy supplied by the impeller per kN of water
Actual work-done by the pump to the energy supplied to the pump by the prime mover
Energy supplied to the pump to the energy available at the impeller
Energy available at the impeller to the energy supplied to the pump by the prime mover

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