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A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model to the nearest cubic meter?

Acceptfully  May 30, 2017

Best Answer 

 #1
avatar+4174 
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radius = diameter/2

radius = 6.5/2           =      \(\frac{13}{4}\)   m

 

volume  \(=\frac43 \, * \, \pi \, *\, (\text{radius})^3 \\~\\ =\frac43 \, * \, \pi \, *\, (\frac{13}{4})^3 \\~\\ =\frac43\,*\,\pi\,*\,\frac{2197}{64} \\~\\ =\frac{2197\pi}{48} \\~\\ \approx 144 \quad \text{cubic meters}\)

hectictar  May 30, 2017
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1+0 Answers

 #1
avatar+4174 
+2
Best Answer

radius = diameter/2

radius = 6.5/2           =      \(\frac{13}{4}\)   m

 

volume  \(=\frac43 \, * \, \pi \, *\, (\text{radius})^3 \\~\\ =\frac43 \, * \, \pi \, *\, (\frac{13}{4})^3 \\~\\ =\frac43\,*\,\pi\,*\,\frac{2197}{64} \\~\\ =\frac{2197\pi}{48} \\~\\ \approx 144 \quad \text{cubic meters}\)

hectictar  May 30, 2017

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