Transcribed Image Text: You are designing a spherical tank to hold water that will be used for fermentation in your company. The volume of liquid

Transcribed Image Text: You are designing a spherical tank to hold water that will be used for fermentation in
your company. The volume of liquid it can hold can be computed as:
R
[3R – h]
V = Th?
3
where V= volume (m³), h=depth of water in tank (m), and R=the tank radius (m). If R=3
m, what depth must the tank be filled to so that it holds 30 m?? Use three iterations of
the Newton- Raphson method to determine your answer. Determine the approximate
relative error after each iteration. Note that an initial guess of R will always converge.

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