A cylindrical piece of metal is 2.03 inches high, has a diameter of 17.0mm wide, weighs 31.599 g. Determine it’s density. Will the object sink or float in water?

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The density of the metal is 2.7 g/cm3. The object will sink in water because it is heavier than water.

What is density?

The density of a substance is the ratio of the mass of the substance and its volume.

The density of a substance is mathematically expressed as:

Density = mass/volume. The unit is g/cm3

The volume of the cylindrical metal can be determined in this case from the attributes given.

Height = 2.03 inches = 5.16 cm

Diameter = 17.0 mm = 1.7 cm

radius = 1.7/2 = 0.85 cm

Volume of a cylinder = πr2h

                          = 22/7 x 0.85 x 0.85 x 5.16 = 11.7169 cm3

Mass of the metal = 31.599 g

Density of the metal = mass/volume = 31.599/11.7169 = 2.7 g/cm3

The density of water is 1 g/cm3. This means that the metal is heavier than water and will, therefore sink in it.

More on density can be found here: https://brainly.com/question/15164682

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