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To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid presses on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel. If should be
  • a)
    Equal to the radius
  • b)
    Less than radius
  • c)
    More than radius
  • d)
    Four times of radius
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
To what height should a cylindrical vessel be filled with a homogeneou...
Let h be the desired height of liquid in cylinder for which the force on the bottom and sides of the vessel is equal
Force on bottom = ρ gh × πR2
Force on the walls of vessel
= ρ g πh2R = ρ g h π Rh or R = h
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To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid presses on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel. If should bea)Equal to the radiusb)Less than radiusc)More than radiusd)Four times of radiusCorrect answer is option 'A'. Can you explain this answer?
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