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You have been contracted to assist in designing a cylindrical can that will minimise the materials used in the construction of the can. The can

You have been contracted to assist in designing a cylindrical can that will minimise the materials used in the construction of the can. The can must have a volume of 300cm3 . The side of the can (curved surface) is cut from large sheets which essentially creates no waste. However, the circular ends of the can must be cut from squares with side length equal to the diameter of the can. Assume that the excess material from the circular ends cannot be reused. What are the dimensions of the can that minimise materials used to produce the can?

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