Let's remember that the formula for the surface area of a cone is [tex]\pi{r^2} + \pi{r}{l}[/tex], where r is the radius and l is the slant height.
All we need to do to complete this problem is plug in the values that were given to us since we have all the necessary parts of the equation.
[tex]{5^2}\cdot\pi + \pi\cdot{5}\cdot{10} = 25\pi + 50\pi = \boxed{75\pi} = \boxed{235.62}[/tex]
Our answer is 75pi cm^2, or 235.62 cm^2.
