Step 1 :The formula for finding the surface area of a cone is \(\pi r(r + l)\) where \(r\) is the radius and \(l\) is the slant height.
Step 2 :Substituting the given values into the formula gives us \(\pi (5)(5 + 10)\).
Step 3 :Calculating that gives us \(75\pi \, cm^2\).