Question

What is the lateral area of the cone?

Answer 1

The diameter of the base of the cone is 6 units, thus the radius of it is 3 then.

$\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=3\\ h=5 \end{cases}\implies LA=\pi (3)\sqrt{3^2+5^2} \\\\\\ LA=3\pi \sqrt{34}$