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

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

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: 1. (3R - h) where V volume [m2], h - depth of water in tank [m], and R- the tank radius [m]. If R 3m, to what depth must the tank be filled so that it holds 50 m2? a) b) Use three iterations of the false position method with initial guesses of xL c) Use three iterations of the bisection method with initial guesses of XL = 0 and Xu-4 to find the required depih. 0 and x 4 to find the required depth. For each method, calculate the final approximate percent relative error

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