ledettheresa ledettheresa
  • 12-12-2017
  • Mathematics
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Given a cone with a volume of 288 in and height 7 in find the base radius of the cone

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jdoe0001 jdoe0001
  • 12-12-2017
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=radius\\ h=height\\ ------\\ h=7\\ V=288 \end{cases}\implies 288=\cfrac{\pi \cdot r^2\cdot 7}{3} \\\\\\ \cfrac{288\cdot 3}{7\pi }=r^2\implies \sqrt{\cfrac{288\cdot 3}{7\pi }}=r[/tex]
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