A hemispherical tank, 10 ft in diameter is full of liquid (density: 40 lb/ft3). Find the work required to pump the water out of the top of the tank.

Question

A hemispherical tank, 10 ft in diameter is full of liquid (density: 40 lb/ft3). Find the work required to pump the water out of the top of the tank.
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Solution 1

The work required to pump a liquid to a certain height is given by the formula:

W = ρghA

where:

  • W is the work done,
  • ρ is the density of the liquid,
  • g is the acceleration due to gravity,
  • h is the height to which the liquid is pumped,
  • A is the area of the liquid surface.

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