Design the optimal conical container that has (a) a cover and has walls of negligible thickness. The container is to hold 0.5 m³. Design it (determine the optimal radius and height) so that the areas of its top and sides are minimized. (b) Repeat (a) but for a conical cuntainer without a cover. You can search 'Uncle Google' or any geometry textbook to find how the surface area and volume of a conical container (as shown below) are calculated. Solve it using MATLAB's fminbnd function.

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