[tex]\textit{lateral area of a cone}\\\\ LA=\pi rs~~ \begin{cases} r=radius\\ h=height\\ s=slant~height\\[-0.5em] \hrulefill\\ LA=612\pi \\ r=14.2 \end{cases}\implies \begin{array}{llll} 612\pi =\pi (14.2)s\implies \cfrac{612\pi }{\pi (14.2)}=s \\\\\\ 43.1\approx = s \end{array}[/tex]
