[tex]\bf \textit{total surface area of a cone}\\\\
S=\pi r\sqrt{h^2+r^2}+\pi r^2\quad
\begin{cases}
r=radius\\
h=height\\
-----\\
r=8\\
h=14
\end{cases}
\\\\\\
S=\pi (8)\sqrt{14^2+8^2}+\pi (8)^2\implies S=8\pi \sqrt{260}+64\pi
\\\\\\
S\approx 405.25+201.06\implies S\approx 606.31[/tex]
