You are designing a spherical tank (Figure above) to hold water. The volume of liquid it can hold can be computed as ?? = ??h 2 (3?? - h) 3 ????. 1 If R = 3 m, what depth must the tank be filled to so...

You are designing a spherical tank (Figure above) to hold water. The volume of liquid it can hold can be computed as ?? = ??h 2 (3?? - h) 3 ????. 1 If R = 3 m, what depth must the tank be filled to so that it holds ?? = 30 m3 ? To find a solution to this problem a plot of the function ??(h) ???? h must be performed. This is your only task in this assignment. Grouping constants ?? = ??, ?? = -3????, and ?? = 3??, ????. 1 can be expressed as the cubic polynomial: ??(h) = ??h 3 + ??h 2 + ?? ????. 2 Your task is to plot ????. 2 such as the Bisection method can be used to solve the problem. Play with the ranges of x (i.e., h) and y (i.e., ??(h)), such as, that the three roots are visible and centered.