Question

Suzanna wants to fill a cylindrical vase 2/3 of the way with water before placing her flowers in it. What is the approximate volume of water in the vase if the vase has a height of 14 cm and a radius of 5 centimeters? Use 3.14 for π and round your answer to the nearest tenth. The approximate volume of water in the vase is __________ cm^3.

Answer 1

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