a company is manufacturer of cylindrical aluminium tins.The manager plans to reduce the cost of production.The production cost is proportional to the area of the aluminium sheet used.the volume that each tin can hold is 1000cm3.i hope sumone who have done this kind of project can help me.If possible i would like to know every inch of it including the conjecture and heuristic.
Difficult without paper, but the principle is to work out a formula for the total area of aluminium sheet which still maintaining 1000cm3 volumeIn the following, r radius of cylinder and h height of canArea of aluminium 2pir^2 [the top and bottom] + 2pirh [because 2pir is the circumference of the can] Because pir^2h 1000, you can substitute h 1000/pir^2 into the Area equationThen differentiate with respect to r, and when dA/dr 0, that's the most economical way to make the canIt should turn out at close to r 5.4; h 10.9
Possibly parchment paper? It is used for cooking so can withstand heatCheck any grocery store.
