tootytrumpetgal0512 tootytrumpetgal0512

04-03-2019
Mathematics

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a cylinders lateral area is 94.2cm2. the height is 6cm. what is the radius?

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jdoe0001 jdoe0001

04-03-2019

[tex]\bf \textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=94.2\\ h=6 \end{cases}\implies 94.2=2\pi r(6)\implies 94.2=12\pi r \\\\\\ \cfrac{94.2}{12\pi }=r\implies 2.4987\approx r[/tex]

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