25burfields 25burfields
  • 14-12-2021
  • Mathematics
contestada

If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?

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jdoe0001 jdoe0001
  • 14-12-2021

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]

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