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Question

A cone of radius R and height H, is hanging inside a liquid of density ρ by means of a string as shown in the figure . The force, due to the liquid acting on the slant surface of the cone is (Neglect atmosphere pressure)


A

ρπgHR2

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B

πρHR2

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C

43πρgHR2

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D

23πρgHR2

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Solution


Upthrust = F(base surface)F(slant surface)

F(slant surface)=F(base surface) – Upthrust

=(ρgH)(πR2)(13πR2H)ρg

=23πρgHR2


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