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Question:

wastage occur when circles are cut from aluminium sheet, not round shape suggest best shape to reduce the cost

thetop and bottom faces tin are cut consisting regular polygonsfing the relationship of the ratio of h/r, the number of sides of polygon

Answer:

Sure, you want to tesselate the plane with regular hexagonsIn cutting the hexagons there is no wastage, since they fit perfectlyIf the circle is to have radius r then the altitude of the hexagon is of length r, and the area of the hexagon is 2sqrt(3)r^2, area of the circle is pir^2sqrt(3) is about 7/4, so ratio is about 7/2r^2/(pir^2) 3.5/pi(actual ratio is 2sqrt(3)/pi)
I would think that square or rectangle would be best, since there is no 'waste' betwen cutsThis is probably too simple an answer, though.

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