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6.30 You are designing a spherical tank (Fig. P6.30) 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

6.30 You are designing a spherical tank (Fig. P6.30) 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6.30 You are designing a spherical tank (Fig. P6.30) 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 Type here to search Et en CHA ✔ 23
Transcribed Image Text:6.30 You are designing a spherical tank (Fig. P6.30) 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 Type here to search Et en CHA ✔ 23
B 1 e d nt ne on n- OS. For or- ion Use ons. tch where V = volume (m³), h = depth of water in tank (m), and R = the tank radius (m). Figure P6.30 R 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.
Transcribed Image Text:B 1 e d nt ne on n- OS. For or- ion Use ons. tch where V = volume (m³), h = depth of water in tank (m), and R = the tank radius (m). Figure P6.30 R 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.
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