laylabear14
laylabear14 laylabear14
  • 04-04-2019
  • Mathematics
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The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?

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jdoe0001 jdoe0001
  • 04-04-2019

[tex]\bf \begin{array}{lrlll} \stackrel{\textit{volume of a cone}}{\cfrac{\pi r^2 h}{3}\qquad \implies \qquad \cfrac{\pi r^2 h}{3}}=20\pi&\qquad \qquad \stackrel{\textit{volume of a cylinder}}{\pi r^2 h\qquad \implies \qquad 3\left(\cfrac{\pi r^2 h}{3} \right)} \\\\\\ &3(20\pi ) \\\\\\ &60\pi \\\\\\ &\approx 188.5 \end{array}[/tex]

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