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Question

A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass is M. It is suspended by a string in a liquid of density rho where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is

  1. Mg    
  2. M g minus v rho g    
  3. M g plus pi R to the power of 2 end exponent text end text h rho g    
  4. rho g open parentheses V plus pi R to the power of 2 end exponent h close parentheses    

The correct answer is: M g plus pi R to the power of 2 end exponent text end text h rho g

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