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1) A cylindrical glass is to be made to hold 250 cm3 of water. If the...

1) A cylindrical glass is to be made to hold 250 cm3 of water. If the cost of making the cylindrical surface of the glass is half the cost of making the bottom surface, what are the dimensions of the glass such that the cost of making it is minimized?
2) We want to construct a box with a square base and we only have
10 m2 of material to use in construction of the box. Assuming that all the materials is used in the construction process. Determine the maximum volume that the box can have.

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