Okay, here we have this:
Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:
Then we will use the following formula:
A= πrL + πr^2
Replacing:
A= π(4 m)(10 m) + π(4 m)^2
A= 40π m^2 + 16π m^2
A= 56π m^2
A≈175,9 m^2
Finally we obtain that the surface area of the cone is approximately 175,9 m^2.