19-07-2016
Mathematics

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Find the radius of the base of a cone with volume equal to 144pi in and height equal to 12

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dalendrk dalendrk

19-07-2016

[tex]The\ volume\ of\ the\ cone:V=\dfrac{1}{3}\pi r^2H\\\\V=144\pi;\ H=12;\ r=?\\\\subtitute\\\\\dfrac{1}{3}\pi r^2\cdot12=144\pi\\\\4\pi r^2=144\pi\ \ \ |divide\ both\ sides\ by\ 4\pi\\\\r^2=36\\\\r=\sqrt{36}\\\\\boxed{r=6} [/tex]

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