A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

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 M. It is suspended by a string in a liquid of density ρ 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. MgVrg
  3. Mg + pR2hrg
  4. rg (V + pR2h).

Answer

(D) r g ( V + p R 2 h ).

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