the muhibah company is a manufacturer of cylindrical aluminium tinsthe manager plans to reduce the cost of productionthe production cost i proportional to the area of the aluminium sheet usedthe volume that each tin can hold is 1000cm^3 (1 liter).1) determine the value of h, r and hence calculate the ratio of h/r when the total surface area of each tin is minimumhere, h cm denotes the height and r cm the radius of the tin.2) the top and bottom pieces of the tin of height h cm are cut from square-shaped aluminium sheetsDetermine the value for r, h and hence calculate the ratio h/r so that the total area of the aluminium sheets used for making the tin is minimum.3) investigate cases where the top and bottom surfaces are cut fromi) equilateral triangleii) regular hexagonfind the ratio of h/r for each casesplease help me to solve this problem,,, thanks for ur help
Hints on the first two: 1Minimize A 2 pi r^2 + 2 pi r h subject to pi r ^ 2 h 10002Minimize A 8 r^2 + 2 pi r h subject to pi r ^ 2 h 1000.
