Question

A standard 1 kilogram weight is a cylinder 51.0 mm in height and 42.0 mm in diameter. Determine the density of the material

Answer 1

14160 kg/m^3

Step-by-step explanation:

First of all, we need to find the volume of the cylinder.

The volume of the cylinder is given by:

`V=\pi r^2 h`

where:

`r=(d)/(2)=(42.0 mm)/(2)=21.0 mm=0.021 m` is the radius

`h=51.0 mm=0.051 m` is the height

Substituting, we find

`V=\pi (0.021 m)^2 (0.051 m)=7.1 \cdot 10^(-5) m^3`

And the density is given by

`d=(m)/(V)`

where m = 1 kg is the mass. Substituting, we find

`d=(1 kg)/(7.1\cdot 10^(-5) m^3)=14,160 kg/m^3`