jackelinev4132 jackelinev4132
  • 01-03-2019
  • Mathematics
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The moon has a surface area of approximately 14,650,000 m^2. Estimate its radius to the nearest mile

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jdoe0001 jdoe0001
  • 01-03-2019

[tex]\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=14650000 \end{cases}\implies 14650000=4\pi r^2 \\\\\\ \cfrac{14650000}{4\pi }=r^2\implies \cfrac{3662500}{\pi }=r^2\implies \sqrt{\cfrac{3662500}{\pi }}=r\implies 1079.73\approx r[/tex]

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