Physics
Fluid-Mechanics
Easy

Question

The volume of the hollow portion of a sphere is 3 over 4 of the external volume of the sphere. If it floats in a liquid of relative density 3 over 2, half of its external volume immersed, the relative density of the material of the solid is:

  1. 2
  2. 3
  3. 2.4
  4. 1.8

The correct answer is: 3


    Given, 4 over 3 pi cubed equals 3 over 4 open parentheses 4 over 3 pi R cubed close parentheses semicolon    r cubed equals 3 over 4 R cubed
    Further, 4 over 3 pi open parentheses R cubed minus r cubed close parentheses rho g equals 1 half cross times 4 over 3 pi R cubed cross times 3 over 2 rho subscript v cross times g
    Using (i), rho over rho subscript w equals 3

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