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 = nh²(3R_h) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 3 iterations to find the height (h=?) for storing 25 m³ of water with 10 m diameter-tank. Take n = 3.1416 and initial guess for h=R. Choices 1.4559 1.297 1.3235 1.2573

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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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 = nh?(3R-h)
volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 3 iterations to find the
where V
height (h=?) for storing 25 m³ of water with 10 m diameter-tank. Take T = 3.1416 and initial guess for h=R.
%3D
Choices
1.4559
1.297
1.3235
1.2573
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 = nh?(3R-h) volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 3 iterations to find the where V height (h=?) for storing 25 m³ of water with 10 m diameter-tank. Take T = 3.1416 and initial guess for h=R. %3D Choices 1.4559 1.297 1.3235 1.2573 Submit I Attempts 1
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