High School

A standard 1-kilogram weight is a cylinder 55.0 mm in height and 46.5 mm in diameter. What is the density of the material?

Answer :

The density of the material is approximately 10,468 kg/m³.

The density of the material can be determined by dividing the mass of the cylinder by its volume. The mass of the cylinder is given as 1 kilogram. To find the volume, we need to calculate the volume of the cylinder, which is [tex]\pi \times r^2 \times h,[/tex] where r is the radius and h is the height. The radius is half the diameter, so it is 46.5 mm / 2 = 23.25 mm = 0.02325 m.

Converting the height to meters, we get 55.0 mm = 0.055 m. Plugging these values into the volume formula, we have [tex]\pi \times (0.02325 m)^2 \times 0.055 m = 9.54 \times 10^{-5} m^3[/tex]. Finally, dividing the mass (1 kg) by the volume [tex](9.54 \times 10^{-5}m^3)[/tex], we find the density of the material to be approximately 10,468 kg/m³.

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