[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=14 \end{cases}\implies V=\pi (5)^2(14)\implies V=350\pi \\\\\\ \stackrel{\textit{and }\frac{2}{3}\textit{ of that whole volume is}}{\cfrac{2}{3}(350\pi )}\implies \cfrac{700\pi }{3}\implies \stackrel{\textit{using }\pi =3.14}{\cfrac{2198}{3}}\implies \stackrel{\textit{rounded up}}{732.7}[/tex]
