Question

How many litres can be held by a cylindrical can 14cm in diameter and 20cm hight?

Answer 1

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=7\\ h=20 \end{cases}\implies V=\pi (7)^2(20)\implies V\approx 879.65~cm^3 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} Liters&cm^3\\ \cline{1-2} 1 & 1000\\ x& 879.65 \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{1000}{879.65}\implies 879.65\approx 1000x \\\\\\ \cfrac{879.65}{1000}\approx x\implies \stackrel{ Liters }{0.87965}~\approx ~x`