Respuesta :

Answer:

[tex]SA=54\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

[tex]SA=\pi r^{2}+\pi rl[/tex]

where

r is the radius of the base

l is the slant height

we have

[tex]r=3\ units\\l=15\ units[/tex]

substitute

[tex]SA=\pi (3)^{2}+\pi (3)(15)[/tex]

[tex]SA=54\pi\ units^2[/tex]