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A solid hemisphere of radius $R$ immersed into a liquid of density $ρ$ . If the hemisphere is at a depth $R$ , then force exerted by liquid on the flat surface of the hemisphere, is (ignore atmospheric pressure)

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$\frac{4}{3} π R^{3} ρ g$

$\frac{5}{3} π R^{3} ρ g$

$π R^{3} ρ g$

$2 π R^{3} ρ g$

answer is B.

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Detailed Solution

The force exerted on the surface will be the pressure times the area of the flat surface

$F = {PπR}^{2} = (ρgR) {πR}^{2}$

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