(Solved) : You Are Designing Spherical Tank . . .

You are designing a spherical tank (Figure) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = πh2 [3R + h]/3. Where V = volume [ft3], h = depth of water in tank [ft], and R = the tank redius [ft].

You are designing a spherical tank

If R = 3 m, what depth must the tank be filled to so that it holds 30 m3? Use three iterations of the Newton-Raphson method to determine your answer. Determine the approximate relative error after each iteration. Note that en initial guess of R will always converge.

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