Mathematics, 28.06.2019 12:30, nbaarubyy
Acylindrical-shaped cup has a height of 7 centimeters and a volume of 112 cubic centimeters. henry fills the cup completely full of water. he then pours the water from the cup and completely fills a cone. if the cone has the same radius as the cup, what is the height of the cone?
Answers: 1
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=112\\ h=7 \end{cases}\implies 112=\pi r^2(7)\implies \cfrac{112}{7\pi }=r^2\implies \cfrac{16}{\pi }=r^2 \\\\\\ \sqrt{\cfrac{16}{\pi }}=r\implies \cfrac{\sqrt{16}}{\sqrt{\pi }}=r\implies \cfrac{4}{\sqrt{\pi }}=r \\\\[-0.35em] ~\dotfill](/tpl/images/0027/1333/f9826.png)
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Acylindrical-shaped cup has a height of 7 centimeters and a volume of 112 cubic centimeters. henry f...
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