You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as Home 1( noPHP) I V = xh?(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 – hị)/h;) for storing 24 m³ of water with 10 m diameter- tank. Take 7 = 3.1416 and initial guess for h=R. Homework 12 Q1 Q4 Q6 Q7 Q3 Q5 Choices 29.037 Q8 44.4444 Q9 Q10 Q11 29.6296 14.8148 Submit I Attempts 1 |

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 21A
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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
Home IO
noPHP) |
V = nh?(3Rh)
Homework 12
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 24 m of water with 10 m diameter-
tank. Take T =
Q1
Q2
Q3 Q4
Q5 Q6
Q7 Q8
3.1416 and initial guess for h=R.
Choices
29.037
44.4444
Q9 Q10
Q11
29.6296
14.8148
Submit I Attempts 1I
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 Home IO noPHP) | V = nh?(3Rh) Homework 12 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 24 m of water with 10 m diameter- tank. Take T = Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 3.1416 and initial guess for h=R. Choices 29.037 44.4444 Q9 Q10 Q11 29.6296 14.8148 Submit I Attempts 1I
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