austinyoung2009
austinyoung2009 austinyoung2009
  • 30-07-2019
  • Mathematics
contestada

What is the approximate radius of a sphere whose volume is 1349 cm?

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jdoe0001 jdoe0001
  • 30-07-2019

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=1349 \end{cases}\implies 1349=\cfrac{4\pi r^3}{3}\implies 4047=4\pi r^3 \\\\\\ \cfrac{4047}{4\pi }=r^3\implies \sqrt[3]{\cfrac{4047}{4\pi }}=r\implies 6.85\approx r[/tex]

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