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A solid cone of uniform density and heig...

A solid cone of uniform density and height 2R and base radius R has a conical portion scooped out form its base with the same base radius but height R as shown in the figure. The solid cone is floating in a liquid of density `rho` with vertex A touching the fluid surface . If atomospheric pressure is `P_0` the force acting on the surface BCD due to liquid is

A

`(piR^3rhog)/3[2+(3P_0)/(Rrhog)]`

B

`(piR^3rhog)/3[5+(3P_0)/(Rrhog)]`

C

`(piR^3rhog)/3[1+(3P_0)/(Rrhog)]`

D

`(piR^3rhog)/3[4+(3P_0)/(Rrhog)]`

Text Solution

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The correct Answer is:
B
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