Multiple choice

A solid cylinder floats on water with 4/5 of its volume inside water. The density of the material of the cylinder is

  1. 800 kg/m3

  2. 750 kg/m3

  3. 600 kg/m3

  4. 500 kg/m3
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A Correct answer
Explanation

By Archimedes' principle, the weight of the floating object equals the weight of the displaced water. If 4/5 of the volume V is submerged, the density of the object is 4/5 of the density of water (1000 kg/m^3), which is 800 kg/m^3.

AI explanation

By Archimedes' principle, the weight of the floating body equals the weight of the displaced water, so the volume of displaced water is 4/5 of the cylinder volume. This means the density of the cylinder times its volume equals the density of water times 4/5 of the volume. Using the density of water as 1000 kg/m3, the density of the material is 4/5 of 1000, which is 800 kg/m3.

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