The surface area of the cone is given by:
[tex]SA=\pi r^2+\pi Lr[/tex]
where r is the radius and L is slant height.
In this case r=5 and L=12. Then the surface area is:
[tex]\begin{gathered} SA=(3.14)(5)^2+(3.14)(12)(5) \\ =267 \end{gathered}[/tex]
Therefore the surface area is 267 squared centimeters,
