Question

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

Answer 1

check the picture below.


`\bf \textit{lateral area of a cone}\\\\ LA=\pi r\stackrel{slant-height}{√(r^2+h^2)}~~ \begin{cases} LA=539\pi \\ r=49 \end{cases}\implies 539\pi =\pi 49√(r^2+h^2) \\\\\\ \cfrac{539\pi }{49\pi }=√(r^2+h^2)\implies 11=√(r^2+h^2)`