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

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All three have the same mass and density, so each displaces water equal to its own weight: the submerged fraction f is the same for all three, $f_{1} = f_{2} = f_{3}$ (A) correct.

For the same submerged volume, the cylinder (largest cross-section up top) sinks the least and the cone the most: $h_{3} < h_{1} < h_{2}$ so (C) and (D) are also correct.

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