A right circular cone with radius r and height h has volume V = 1 3 r2 h and surface area (counting the area of the circle at the non-pointy end) of...

 A right circular cone with radius r and height h has volume V = 1 3 πr2 h and surface area (counting the area of the circle at the non-pointy end) of A = πr2 + πr√ r 2 + h 2. Suppose that such a cone is to have a total volume of 100 L. What is the minimum possible surface area of such a cone?