liviray1000 liviray1000
  • 15-03-2018
  • Mathematics
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The cylinder shown has a volume of 3.14 in3. Find the volume of a cone with the same base and height as the cylinder

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jdoe0001 jdoe0001
  • 15-03-2018
[tex]\bf \begin{array}{llll} \textit{volume of a cylinder}\\\\ V=\pi r^2 h \end{array}\qquad \qquad\qquad \begin{array}{llll} \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\implies \cfrac{1}{3}(\pi r^2 h) \end{array}[/tex]

notice, the volume of a cylinder with a radius of "r" and a height of "h" is that much, whilst the volume of a cone with the same exact "r" and "h" is, well, one third that of the cylinder's.
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