Use the formula for the surface area of a right cone:
[tex]\sf A=\pi rs+\pi r^2[/tex]
Where 'r' is the radius and 's' is the slant height, plug in what we know(use 3.14 to approximate for pi):
[tex]\sf A=(3.14)(12)(15)+(3.14)(12)^2[/tex]
Multiply and simplify exponent:
[tex]\sf A=565.2+(3.14)(144)[/tex]
Multiply:
[tex]\sf A=565.2+452.16[/tex]
Add, round to the nearest whole number:
[tex]\boxed{\sf A\approx 1017~cm^2}[/tex]