In matlab The hull of a small underwater vehicle is modeled as 2 connected pieces: a hemisphere of radius R and a circular cone of base radius R and height H. The volume of this underwater vehicle is π For hemisphere: Surface area = 2πR, Volume = 3πR3. For cone. Surface area TRVR2+HP. Volume = 1 πR2H The objective is to minimize the surface area. Comment on how to use Lagrange's Multipliers method to solve this problem. No need to solve the problem. (3 pt) Use MATLAB's fmincon function to solve the problem. (7 pt) a) b)