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 = Th²(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|(hi+1 – h;)/h;) for storing 26 m³ of water with 8 m diameter-tank. Take and initial guess for h=R. Choices 15.7176 15.4032 7.8588 23.5764

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
V = th?(3Rh)
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 26 m³ of water with 8 m diameter-tank. Take and initial
guess for h=R.
Choices
15.7176
15.4032
7.8588
23.5764
Submit I Attempts 1 |
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 V = th?(3Rh) 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 26 m³ of water with 8 m diameter-tank. Take and initial guess for h=R. Choices 15.7176 15.4032 7.8588 23.5764 Submit I Attempts 1 |
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