Question

A standard 1 kilogram weight is a cylinder 49.5 mm in height and 52.5 mm in diameter. What is the density of the material? kg/m3

Answer 1

`91659.02kg/m^3`

Step-by-step explanation:

We have given mass m = 1 kg

Height of the cylinder
`h=49.5mm=49.5* 10^(-3)m`

Diameter d=52.5 mm , so radius
`r=(d)/(2)=(52.5)/(2)=26.25mm=26.25* 10^(-3)m`

Volume of the cylinder
`V=\pi r^2h=3.14* (26.25* 10^(-3))^2* 49.5* 10^(-3)=1.091* 10^(-5)m^3`

We know that density
`d=(mass)/(volume)=(1)/(1.091* 10^(-5))=91659.02kg/m^3`