SOLVED:You want to make cylindrical containers to hold 1 liter using the least amount of construction material. The side is made from a rectangular piece of material, and this can be done with no material wasted. However, the top and bottom are cut from squares of side 2 r, so that 2(2 r)^2=8 r^2 of material is needed (rather than 2 πr^2, which is the total area of the top and bottom). Find the dimensions of the container using the least amount of material, and also find the ratio of height to r
SOLVED:You want to make cylindrical containers to hold 1 lite…
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