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A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the spheres?

mehhhh  May 23, 2017

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volume of sphere with radius 6 m   =   \(\frac43*\pi*6^3=\frac43*\pi*216=288\pi \, \text{m}^3\)

 

volume of sphere with radius 3 m   =   \(\frac43*\pi*3^3=\frac43*\pi*27=36\pi \, \text{m}^3\)

 

 

\(\begin{array} \ 288π \, \text{m}^3 - 36π \, \text{m}^3 &=& 252π \, \text{m}^3 \\~\\ &\approx& 791.681 \, \text{m}^3 \end{array}\)

hectictar  May 23, 2017
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 #1
avatar+4172 
+1
Best Answer

volume of sphere with radius 6 m   =   \(\frac43*\pi*6^3=\frac43*\pi*216=288\pi \, \text{m}^3\)

 

volume of sphere with radius 3 m   =   \(\frac43*\pi*3^3=\frac43*\pi*27=36\pi \, \text{m}^3\)

 

 

\(\begin{array} \ 288π \, \text{m}^3 - 36π \, \text{m}^3 &=& 252π \, \text{m}^3 \\~\\ &\approx& 791.681 \, \text{m}^3 \end{array}\)

hectictar  May 23, 2017

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