Question: numerical methods/ matlab 1. You are designing a spherical tank (shown below) to hold water for a small village in a developing country. The volume

numerical methods/ matlab 1. You are designing a spherical tank (shown below)numerical methods/ matlab

1. You are designing a spherical tank (shown below) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as: (3R - h) where V = volume [m, h = depth of water in tank [m], and R = the tank radius [m]. If R 3 m, to what depth must the tank be filled so that it holds 50 ma? a) Use three iterations of the bisection method with initial guesses of XL = 0 and Xu-4 to find the required b) Use three iterations of the false position method with initial guesses of xL 0 and x 4 to find the c) For each method, calculate the final approximate percent relative error. depth required depth

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