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Question 3
What's the height of a cone if the volume is 562 cubic inches and the radius is 5 inches.
O 72.05 units
O 120.62 units
O21.47 units
O38.90 units
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Sagot :

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=562\\ r=5 \end{cases}\implies 562=\cfrac{\pi (5)^2 h}{3}\implies 1686=25\pi h \\\\\\ \cfrac{1686}{25\pi }=h\implies 21.47\approx h[/tex]

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