Question
An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water, show that the cost of the material will be least when the depth of the tank is half of its width.
Solution
Let x be sides of the square base and h be the depth of the given tank of volume V.
...(1)
Surface area of tanki =
Let Rs. p be the cost per square unit of material and C be the total cost.
...(2)
...(1)Surface area of tanki =
Let Rs. p be the cost per square unit of material and C be the total cost.
...(2)
