Question

A standard 1 kilogram weight is a cylinder 41.5 mm in height and 55.0 mm in diameter. What is the density of the material?

Answer 1

Mass of the cylinder = M = 1 kg

Density of the material = $\rho$

Diameter of the cylinder = D = 55 mm = 0.055 m

Radius of the cylinder = R = D/2 = 0.0275 m

Height of the cylinder = H = 41.5 mm = 0.0415 m

Volume of the cylinder = V

V = $\pi$R²H

M = $\rho$V

M = $\rho$$\pi$R²H

1 = $\rho$$\pi$(0.0275)²(0.0415)

$\rho$ = 10142.3 kg/m³

Density of the material = 10142.3 kg/m³