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A solid sphere, a cone and a cylinder are floating in water. All have same mass, density and radius. Let $f_{1}, f_{2} a n d f_{3}$ are the fraction of their volumes inside the water and h₁, h₂ and h₃ depths inside water. Then,

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$f_{3} > f_{2} > f_{1}$

h₃ < h₂

$f_{1} = f_{2} = f_{3}$

h₃ < h₁

answer is A, C, D.

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Detailed Solution

Fraction of volume immersed is given by

$f = \frac{ρ_{s}}{ρ_{l}}$

$ρ_{s} a n d ρ_{e}$ are same. Hence,

$f_{1} = f_{2} = f_{3}$

Submerged volume in the three cases are same . So $h_{3} < h_{1} a n d h_{3} < h_{2}$

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