A cylindrical container with a circular base and open top must have a volume of 1000 m³. Find the radius and height of the container that minimizes the amount of material used.

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A: Explanation of the answer is as follows

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Q: How to solve this problem ??????

A: Solution: dPdt=5P1-P5000 dPdt=55000P5000-PdPdt=-11000PP-5000Apply integration∫dPdt=-∫11000dt

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A: We can find the answer as below.

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A: To find the equilibrium point we have to put  D(x)= S(x) and solve for x .

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A: