The height of a conical tent at the center is $$5 m$$, the distance of any point on its circular base from the top of the tent is $$13 m$$. The area of the slant surface is
Correct option is C. $$156 \pi sq. m$$
Given Height $$h=5$$ and Slant height $$l=13$$
$$\Rightarrow r^{2}=l^{2}-h^{2}=13^{2}-5^{2}$$
$$\Rightarrow r=12 $$
Area of slant surface $$=\pi rl$$
$$=\pi ×12×13$$
$$\Rightarrow $$area of slant surface $$=156\pi$$ sq.m