Mathematics, 23.01.2020 03:31 richlovedarkwa5
10.a cone with a height of 15 yards has a volume of 457.17 yd3 . find the diameter of the cone
Answers: 1
![\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=457.17\\ h = 15 \end{cases}\implies 457.17=\cfrac{\pi r^2(15)}{3}\implies 457.17=5\pi r^2 \\\\\\ \cfrac{457.17}{5\pi }=r^2\implies \sqrt{\cfrac{457.17}{5\pi }}=r\implies 5.39 \approx r~\hfill \boxed{\stackrel{diameter = 2r}{2(5.39) = 10.78}}](/tpl/images/0466/7130/b68e4.png)
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10.a cone with a height of 15 yards has a volume of 457.17 yd3 . find the diameter of the cone...
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