Question 141059
Find the SA of a Cone here --> http://math.about.com/od/formulas/ss/surfaceareavol_2.htm.

Find the SA of a Sphere here --> http://www.teacherschoice.com.au/Maths_Library/Area%20and%20SA/area_2.htm

Understand that the figure you describe is actually 1/2 of a sphere attached to a cone. Also note that the cone's base is not included on the SA in this case (it is replaced by the 1/2 sphere)

Is that enough info to get you going?