kayliebush2897 kayliebush2897
  • 04-09-2019
  • Physics
contestada

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

Respuesta :

aristeus aristeus
  • 05-09-2019

Answer:

[tex]91659.02kg/m^3[/tex]

Explanation:

We have given mass m = 1 kg

Height of the cylinder [tex]h=49.5mm=49.5\times 10^(-3)m[/tex]

Diameter d=52.5 mm , so radius [tex]r=\frac{d}{2}=\frac{52.5}{2}=26.25mm=26.25\times 10^{-3}m[/tex]

Volume of the cylinder [tex]V=\pi r^2h=3.14\times (26.25\times 10^{-3})^2\times 49.5\times 10^{-3}=1.091\times 10^{-5}m^3[/tex]

We know that density [tex]d=\frac{mass}{volume}=\frac{1}{1.091\times 10^{-5}}=91659.02kg/m^3[/tex]

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