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A square-based tank of capacity 250 cu m...

A square-based tank of capacity 250 cu m has to bedug out. The cost of land is Rs 50 per sq m. The cost of digging increases with the depth and for the whole tank the cost is Rs `400 xx (depth)^2`. Find the dimensions of the tank for the least total cost.

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A square tank of capacity 250 m^3 has to be dug out. The cost of land is Rs. 50 per m^2 . The cost of digging increases with the depth and for the whole tank it is Rs. 400 times(depth)^2 . Find the dimension of the tank when the total cost is least.

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