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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88703e99-1251-4ab4-855c-4eb0504991fd%2F598655df-1ba7-4d30-97dd-a46046a74368%2Fc0k9zqe_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
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