[tex]\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\qquad \boxed{r=\frac{1}{3}r}\qquad V=\cfrac{4\pi }{3}\left( \cfrac{r}{3} \right)^3\implies V=\cfrac{4\pi }{3}\cdot \cfrac{r^3}{3^3}
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V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{3^3}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{27}\impliedby \frac{1}{27}\textit{ of the original volume}
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\textit{what is }\frac{1}{27}\textit{ of }972\pi ?\qquad \qquad 972\pi \cdot \cfrac{1}{27}\implies 36\pi [/tex]
