A standard 1 kilogram weight is a cylinder 51.0 mm in height and 49.0 mm in diameter. What is the density of the material?

The quantity per unit volume, unit area, or unit length: as. a : the mass of a substance per unit volume.
b : the distribution of a quantity (as mass, electricity, or energy) per unit usually of space.

The radius of the cylinder is equal to half the diameter-

r = d /2 = 49.0 mm /2 = 24.5 mm

The volume of the cylinder is given by

V = π r² h = π ( 24.5 mm)² (51.0 mm) ⇒ 96,124.035 mm³

where h is the height of the cylinder . Converting into meters,

V = 96,124 . 035 m³

And the density of the material will be given by the ratio between the mass and the volume-

d = m/v = 1 kg/ 96,124 m³ = 10.416 kg/m³

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