softballlover93 softballlover93
  • 15-12-2018
  • Mathematics
contestada

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters

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jdoe0001 jdoe0001
  • 16-12-2018

[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ SA=302\\ r=4 \end{cases}\implies 302=2\pi (4)(h+4) \\\\\\ 302=8\pi (h+4)\implies \cfrac{302}{8\pi }=h+4\implies \cfrac{302}{8\pi }-4=h\implies 8.016\approx h[/tex]

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