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?(3Rh) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 1 iterations to find the height (h=?) for storing 28 m³ of water with 6 m diameter-tank. Take 7 = 3.1416 and initial guess for h=R.
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?(3Rh) where V = volume [m³], h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 1 iterations to find the height (h=?) for storing 28 m³ of water with 6 m diameter-tank. Take 7 = 3.1416 and initial guess for h=R.
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
V = rh?(3h)
where V = volume [m³], h = depth of water in tank [m], and R = the tank radius
[m]. Use Newton Raphson method with 1 iterations to find the height (h=?) for
storing 28 m of water with 6 m diameter-tank. Take T =
3.1416 and initial guess
for h=R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa437b1f1-94c0-462c-9640-81b3f97959f1%2F075c831b-6f31-4a1a-a942-65bfadf7dce3%2F8hd5tr6_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
V = rh?(3h)
where V = volume [m³], h = depth of water in tank [m], and R = the tank radius
[m]. Use Newton Raphson method with 1 iterations to find the height (h=?) for
storing 28 m of water with 6 m diameter-tank. Take T =
3.1416 and initial guess
for h=R.
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