The total surface area of a cone of base radius " $r$ " and slanted height "$l$" is equal to

Concept: Total surface area of a cone of base radius " $r$ " and slanted height "$l$" = Curved surface area of a cone + Base area of a cone.

The curved surface area of a cone $=\pi rl$.

The base area of a cone $\pi r^2$.

Hence, the total surface area $=\pi rl+\pi r^2$.