Mathematics, 29.06.2019 19:00 Isaiahtate053
Aright circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. what is the volume of the cylinder? enter your answer in the box. use 3.14 for pi and round only your final answer to the nearest hundredth.
Answers: 1
![\bf \stackrel{mixed}{22\frac{1}{4}}\implies \cfrac{22\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{89}{4}}~\hfill \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0032/0151/06811.png)
![\bf \stackrel{\textit{the diameter is }\frac{12}{5}\textit{ of }\frac{89}{4}}{\cfrac{89}{4}\cdot \cfrac{12}{5}}\implies \cfrac{267}{5}\implies \stackrel{\textit{the radius is }\frac{1}{2}\textit{ of the diameter}}{\cfrac{267}{5}\cdot \cfrac{1}{2}}\implies \stackrel{radius}{\cfrac{267}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0032/0151/81ae7.png)
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{267}{10}\\[1em] h=\frac{89}{4} \end{cases}\implies V=\pi \left( \frac{267}{10} \right)^2\left( \frac{89}{4} \right) \\\\\\ V=\pi (15861.8025)\implies \stackrel{\pi =3.14}{V=49806.05985}\implies V=\stackrel{\textit{rounded up}}{49806.06}](/tpl/images/0032/0151/9eda3.png)
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Aright circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. what is th...
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