1.A cylindrical can, open at the top, is to hold 600 cm3 of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can.

2.An open box is to be made from a 15 ft by 40 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have. Round your answer to the nearest integer.