Determine the density (TO ONE DECIMAL PLACE) of a cylindrical solid with a mass of 16.5 g, a diameter of 10.6 mm, and a length of 21.8 mm in g/cm3. Where pi = 3.14.

The formula for calculating density is expressed as

Density = mass/volume

From the information given,

mass = 16.5 g

volume = ?

Recall, the formula for calculating the volume of a cylinder is expressed as

volume = pi x radius^2 x height

diameter = 10.6mm

Recall, 1 cm = 10 mm

10.6mm = 10.6/10 = 1.06 cm

diameter = 1.06 cm

radius = diameter/2 = 1.06/2 = 0.53 cm

length = height = 21.8 mm

Converting 21.8 mm to cm, we have

length = height = 21.8/10 = 2.18 cm

Thus,

volume of cylinder = 3.14 x 0.53^2 x 2.18 = 1.92 cm^3

Thus,

Density = 16.5/1.92

Density = 8.6 g/cm^3

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