A solid cone of uniform density and height \(2 R\) and base radius \(R\) has a conical portion s....

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A solid cone of uniform density and height \(2 R\) and base radius \(R\) has a conical portion scooped out from 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 atmospheric pressure is \(P_0\), the force acting on the surface \(B C D\) due to liquid is:
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