A uniformly tapering vessel of height h whose lower and upper radii are r and R is completely filled with a liquid of density ρ. The forces that acts on the base of the vessel due of the liquid is
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a
πR2hρg
b
πr2hρg
c
π(R+r2)2hρg
d
13π(R2-r2)hρg
answer is B.
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Detailed Solution
Force = area of base × pressure due to liquid column of height h = πr2×hρg