Mathematics, 13.12.2019 03:31 proutyhaylee
The volume of a cylinder whose height is 15 inches is 360 π. what is the diameter of the cylinder?
Answers: 1
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=360\pi \\ h=15 \end{cases}\implies 360\pi =\pi r^2(15)\implies \cfrac{360\pi }{15\pi }=r^2 \\\\\\ 24=r^2\implies \sqrt{24}=r~\hfill \stackrel{diameter = 2r}{2\sqrt{24}~~\approx~~ 9.80}](/tpl/images/0416/3647/75370.png)
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The volume of a cylinder whose height is 15 inches is 360 π. what is the diameter of the cylinder?...
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