[tex]\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad
\begin{cases}
r=radius\\
h=height\\
-----\\
r=\stackrel{3\times r}{3r}\\
h=\stackrel{3\times h}{3h}
\end{cases}\implies V=\cfrac{\pi (3r)^2(3h)}{3}
\\\\\\
V=\cfrac{\pi (3^2r^2)(3h)}{3}\implies V=\cfrac{\pi (9r^2)(3h)}{3}\implies V=27\left( \cfrac{\pi r^2 h}{3} \right)[/tex]
notice the original, and the new one, with the tripled "r" and "h" is just, whatever the original was times 27, namely 27 times as large as the original.
