[tex]\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad
\begin{cases}
r=radius\\
h=height\\
-----\\
V=1014\pi \\
h=18
\end{cases}\implies 1041\pi =\cfrac{\pi \cdot r^2\cdot 18}{3}
\\\\\\
1041\pi =6\pi r^2\implies \cfrac{1041\pi }{6\pi }=r^2\implies \cfrac{347}{2}=r^2\implies \boxed{\sqrt{\cfrac{347}{2}}=r}\\\\
-------------------------------\\\\
\textit{circumference of a }\stackrel{cone's}{circle}\\\\
C=2\pi r\qquad \qquad C=2\pi \left( \boxed{\sqrt{\cfrac{347}{2}}} \right)[/tex]
