a. You are designing a spherical tank shown in Fig.1 to hold water for a small v

Question

a.You are designing a spherical tank shown in Fig.1 to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as:

where V = volume [m3], 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 30 m3? Use three iterations of the false-position method to determine your answer. Determine the approximate relative error after each iteration. Employ initial guesses of 0 and R.

Write a MATLAB program to determine depth tank using Newton-Raphson method.

Explanation / Answer

Answer:- MATLAB CODE

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