Mechanics> A hemispherical bowl just floats without ...

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)

Virqt , 8 Years ago

Grade 11

2 Answers

Arun

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)

Last Activity: 8 Years ago

Rishesh Gangwar

Weight of the bowl = mg =

Vρg

=43π[(D2)3−(d2)3]ρg

where D = Outer diameter , d = Inner diameter

= Density of bowl Weight of the liquid displaced by the bowl

=Vσg

=43π(D2)3σg

where

is the density of the liquid. For the flotation

43π(D2)3σg=43π[(D2)3−(d2)3]ρg

(12)3×1.2×103=[(12)3−(d2)3]2×104

By solving we get d = 0.98 m.

Last Activity: 7 Years ago

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Mechanics> A hemispherical bowl just floats without ...

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)

Virqt , 8 Years ago

Arun

Rishesh Gangwar

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