A cylindrical-shaped tin can must have a capacity of 1000 cm3.

1. Determine the dimensions that require the minimum amount of tin for the can. (Assume no waste material.) According to the marketing department, the smallest can that the market will accept has a diameter of 6 cm and a height of 4 cm.
2. Express your answer for part a. as a ratio of height to diameter. Does this ratio meet the requirements outlined by the marketing department?