Mathematics, 26.09.2019 10:50 reed361
Acylindrical vase is filled with soil. if the height of the vase is 6 centimeters and the vase is 471 cubic centimeters, what is the diameter of the vase?
Answers: 1
![\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=6\\ V=471 \end{cases}\implies 471=\pi r^2(6)\implies \cfrac{471}{6\pi }=r^2 \\\\\\ \sqrt{\cfrac{471}{6\pi }}=r\implies \stackrel{diameter = 2\times radius}{d=2\left( \sqrt{\cfrac{471}{6\pi }} \right)}\implies d\approx 9.997](/tpl/images/0264/4872/60ab5.png)
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Acylindrical vase is filled with soil. if the height of the vase is 6 centimeters and the vase is 47...
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