A cuboid steel is melted and cast into a machine part, which is composed of equal bottomed cylinder and cone. It is known that the ratio of cuboid bottom area to cylinder bottom area is 2:3, and cuboid height is 6cm. If the height of both cylinder and cone is the whole centimeter, then the minimum height of the part is

A cuboid steel is melted and cast into a machine part, which is composed of equal bottomed cylinder and cone. It is known that the ratio of cuboid bottom area to cylinder bottom area is 2:3, and cuboid height is 6cm. If the height of both cylinder and cone is the whole centimeter, then the minimum height of the part is

2x6=3(1/3 a +b）
The solution is a + 3B = 12
a. When B = 3, the minimum value of a + B is 6,
The minimum part height is 6cm

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