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

Answer:

$91659.02kg/m^3$

Explanation:

We have given mass m = 1 kg

Height of the cylinder $h=49.5mm=49.5\times 10^(-3)m$

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

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

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