An open-topped tank is to be cylindrical in shape and have volume 50m3. The cost of the material for the circular base is £38 per m2. The cost of the material used for the curved surface is £(38 + 10) per m2. By first finding a function for the total cost of materials in terms of the radius of the tank, use differentiation to find the radius and height of the tank that minimises the total cost of materials. Give your answers in m, to 2 decimal places.
An open-topped tank is to be cylindrical in shape and have volume 50m3. The cost of the material for the circular base is £38 per m2. The cost of the material used for the curved surface is £(38 + 10) per m2. By first finding a function for the total cost of materials in terms of the radius of the tank, use differentiation to find the radius and height of the tank that minimises the total cost of materials. Give your answers in m, to 2 decimal places.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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- An open-topped tank is to be cylindrical in shape and have volume 50m3. The cost of the material for the circular base is £38 per m2. The cost of the material used for the curved surface is £(38 + 10) per m2. By first finding a function for the total cost of materials in terms of the radius of the tank, use differentiation to find the radius and height of the tank that minimises the total cost of materials. Give your answers in m, to 2 decimal places.
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