Question

A solid cylinder of length 10 cm is placed in water. It stands upright with the top 3 cm protruding above the water surface. The density of water is 1.0 g/cm3. What is the density of the cylinder? *

Answer 1

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Use Archimedes' Principle

Equate the mass of the cylinder to the mass of the water displaced by

the cylinder.

Mass = volume x density.

For the cylinder, volume =

(cross-sectional area) x length.

For the water, volume =

(cross-sectional area)x7.

The cross-sectional area cancels out and we

can easily calculate the density of the cylinder. The density is 0.7

g/cm3.