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
volume of cylinder = 3.14 x 0.53^2 x 2.18 = 1.92 cm^3
Density = 16.5/1.92
Density = 8.6 g/cm^3
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