A hemispherical bowl just floats without sinking in a liquid of density 1.2*10 3 kg m-3 . I am outer diameter and density of the bowl are 1 m and 2*10 4 kg m -3 respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

Question

Arun · Answer

Dear student I am getting innner dia d = 0.98 m Let me know, if this is the right answer than I will.post the solution. Regards Arun (askIITians forum expert)

Rishesh Gangwar · Answer

Weight of the bowl = mg = V ρ g = 4 3 π [ ( D 2 ) 3 − ( d 2 ) 3 ] ρ g where D = Outer diameter , d = Inner diameter ρ = Density of bowl Weight of the liquid displaced by the bowl = V σ g = 4 3 π ( D 2 ) 3 σ g where σ is the density of the liquid. For the flotation 4 3 π ( D 2 ) 3 σ g = 4 3 π [ ( D 2 ) 3 − ( d 2 ) 3 ] ρ g Þ ( 1 2 ) 3 × 1.2 × 10 3 = [ ( 1 2 ) 3 − ( d 2 ) 3 ] 2 × 10 4 By solving we get d = 0.98 m.

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A hemispherical bowl just floats without sinking in a liquid of density 1.210 3 kg m-3 . I am outer diameter and density of the bowl are 1 m and 210 4 kg m -3 respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

A hemispherical bowl just floats without sinking in a liquid of density 1.210³kg m-3 . I am outer diameter and density of the bowl are 1 m and 210⁴kg m^-3respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

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A hemispherical bowl just floats without sinking in a liquid of density 1.2*10 3 kg m-3 . I am outer diameter and density of the bowl are 1 m and 2*10 4 kg m -3 respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

A hemispherical bowl just floats without sinking in a liquid of density 1.2*103kg m-3 . I am outer diameter and density of the bowl are 1 m and 2*104 kg m-3 respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

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A hemispherical bowl just floats without sinking in a liquid of density 1.210 3 kg m-3 . I am outer diameter and density of the bowl are 1 m and 210 4 kg m -3 respectively, then the inner diameter of bowl will be?? (FLUID STATICS)

A hemispherical bowl just floats without sinking in a liquid of density 1.210³kg m-3 . I am outer diameter and density of the bowl are 1 m and 210⁴kg m^-3respectively, then the inner diameter of bowl will be?? (FLUID STATICS)