Physics
Fluid-Mechanics
Easy

Question

A sphere of solid material of relative density 9 has a concentric spherical cavity and sinks in water. If the radius of the sphere be R, then the radius of the cavity (r) will be related to R as related to R as

  1. r cubed equals 8 over 9 R cubed
  2. r cubed equals 2 over 3 R cubed
  3. r cubed equals fraction numerator square root of 8 over denominator 3 end fraction R cubed
  4. r cubed equals square root of 2 over 3 end root R

The correct answer is: r cubed equals 8 over 9 R cubed


    V subscript text cavity  end text end subscript over V subscript s equals fraction numerator V subscript s minus V subscript text mel  end text 1 end subscript over denominator V subscript s end fraction equals 1 minus V subscript text metat  end text end subscript over V subscript s equals 1 minus d subscript w over d equals 1 minus fraction numerator 1 over denominator S. G end fraction

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