To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the surface area of a cone, which is:
![SA=\pi r^(2) +\pi rl](https://img.qammunity.org/2019/formulas/mathematics/high-school/ycvjfwjkvlc0132zqo917jjirphpwnowhq.png)
Where
is the radius (
) and
is the slant height (
) and
![\pi =3.14](https://img.qammunity.org/2019/formulas/mathematics/high-school/uejcpxjkerq8dfmtciihk38l3uutbfv7pu.png)
2. You need to substitute these values into the formula:
![SA=(3.14) (7cm)^(2) +(3.14)(7cm)(12cm)\\ SA=417.62cm^(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/2u88a8e3ubeniu5maoscv6xjy7zhf2691w.png)
Therefore, the answer is the last option:
![417.62cm^(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/iw1j7i3c7msjj3d2cuvd48rrgzxd01zlg9.png)