A) \[Mg\]
B) \[Mg-V\rho g\]
C) \[Mg+\pi {{R}^{2}}h\rho g\]
D) \[\rho g(V+\pi {{R}^{2}}h)\]
Correct Answer: D
Solution :
[d] According to Archimedes principle Upthrust = Wt. of fluid displaced \[{{F}_{bottom}}-{{F}_{top}}=V\rho g\] \[\therefore \,\,\,{{F}_{bottom}}={{F}_{top}}+V\rho g\] \[={{P}_{1}}\times A+V\rho g\] \[=(h\rho g)\times (\pi {{R}^{2}})+V\rho g\] \[=\rho g[\pi {{R}^{2}}h+V]\]You need to login to perform this action.
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