You are designing a spherical tank (Fig. P6.19) to hold water for a small village in a developing country The volume of liquid it can hold can be computed as [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 m3? 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. %3D FIGURE P6.19 R

You are designing a spherical tank (Fig. P6.19) to hold water for a small village in a developing country The volume of liquid it can hold can be computed as [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 m3? 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. %3D FIGURE P6.19 R

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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