a company of manufacturer of cylindrical aluminium tins want to reduce the cost of production.the production cost is propotional to the area of the aluminium sheet used.the vol that each tin can hold is 1000 cm(1 litre).1 determine the value of h,r and hence calculate the ratio of h over r when the total surface area of each tin is minimumhere h cm denotes the height and r cm the radius of the tin.2the top and bottom pieces of the tin of height h cm are cut from square shaped aluminium sheetsdetermine the value of r,h and hence calculate the ratio h over r so that the total area of the aluminium sheets used for making the tin is minimum.
By definition, the minimal value for h and r-squared will be when they are the sameThe volume of a cylinder is pi r squared h, so you want to divide 1000 by pi, and then take the square root of the resultThen that is your h and then take the square root of r squared and that is your r.
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