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A sphere of radius R and made of material of relative density sigma has a concentric cavity of radius r. it just floats placed in tank full of water. value of ratio R/r will be

Ashishkumarpathak

9 Years agoGrade 11

3 Answers

DILIP

9 Years ago

Mass = Density × Volume
Mass of ball with cavity = Relative Density × Volume without cavity

Volume of Sphere = 4π/3 R³

Kushagra Madhukar

5 Years ago

Dear student,

The answer to your question will be,

R/r = σ^1/3/(σ^1/3 – 1)

Refer to the above answer for complete solution.

Thanks and regards,

Kushagra

Rohit Dixit

5 Years ago

This answer is wrong! mass of ball with cavity will be 4/3(pie)(R(cube)-r(cube)) and not 4/3(pie)(R-r)(cube) is written in the solution

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