You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = ah²(3R=h) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the relative percentage error in height calculation (e = 100|(h;+1 – h;)/h;) for storing 24 m³ of water with 10 m diameter-tank. Take 7 = 3.1416 and initial guess for h=R. Choices 29.037 44.4444 29.6296 14.8148
You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = ah²(3R=h) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the relative percentage error in height calculation (e = 100|(h;+1 – h;)/h;) for storing 24 m³ of water with 10 m diameter-tank. Take 7 = 3.1416 and initial guess for h=R. Choices 29.037 44.4444 29.6296 14.8148
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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![You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as
Ir
V = nh?(3h)
where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the
100|(hi+1 – hi)/h;) for storing 24 m³ of water with 10 m diameter-tank. Take 7 = 3.1416
relative percentage error in height calculation (e
and initial guess for h=R.
Choices
29.037
44.4444
29.6296
14.8148
Submit I Attempts 1I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97234a29-7009-4d8e-8d71-9606bd71717d%2F34720412-8f31-4c8e-b427-10a448a31b9d%2Ffkv3pxa_processed.png&w=3840&q=75)
Transcribed Image Text:You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as
Ir
V = nh?(3h)
where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 2 iterations to find the
100|(hi+1 – hi)/h;) for storing 24 m³ of water with 10 m diameter-tank. Take 7 = 3.1416
relative percentage error in height calculation (e
and initial guess for h=R.
Choices
29.037
44.4444
29.6296
14.8148
Submit I Attempts 1I
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