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?
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 = \(\frac43*\pi*3^3=\frac43*\pi*27=36\pi \, \text{m}^3\)
\(\begin{array} \ 288π \, \text{m}^3 - 36π \, \text{m}^3 &=& 252π \, \text{m}^3 \\~\\ &\approx& 791.681 \, \text{m}^3 \end{array}\)
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 = \(\frac43*\pi*3^3=\frac43*\pi*27=36\pi \, \text{m}^3\)
\(\begin{array} \ 288π \, \text{m}^3 - 36π \, \text{m}^3 &=& 252π \, \text{m}^3 \\~\\ &\approx& 791.681 \, \text{m}^3 \end{array}\)