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IM SO LOST PLEASE HELP

The lateral area of a cone is 539π. The radius is 49 cm. Find the slant height to the nearest tenth.
1. 12.6 cm
2. 11 cm
3. 8.2 cm
4. 11.5 cm

Respuesta :

check the picture below.

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\stackrel{slant-height}{\sqrt{r^2+h^2}}~~ \begin{cases} LA=539\pi \\ r=49 \end{cases}\implies 539\pi =\pi 49\sqrt{r^2+h^2} \\\\\\ \cfrac{539\pi }{49\pi }=\sqrt{r^2+h^2}\implies 11=\sqrt{r^2+h^2}[/tex]
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