Q4: The volume (V) of liquid in a hollow horizontal cylinder of radius (r) and length (L) is related to the depth of liquid (h) by V = = [r² cos-¹ (=h) - (r-h)√2rh-r²|L Use Newton-Raphson method to find water depth (h) ifr=2, L-5, V=8, starting with h=0.5 as initial value.
Q4: The volume (V) of liquid in a hollow horizontal cylinder of radius (r) and length (L) is related to the depth of liquid (h) by V = = [r² cos-¹ (=h) - (r-h)√2rh-r²|L Use Newton-Raphson method to find water depth (h) ifr=2, L-5, V=8, starting with h=0.5 as initial value.
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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![Q4: The volume (V) of liquid in a hollow horizontal cylinder of radius (r) and length
(L) is related to the depth of liquid (h) by
V
= [r² cos-1 ¹ (1 = 2) - (r - h) √/2rh - r²] L
1
Use Newton-Raphson method to find water depth (h) ifr=2, L-5, V-8, starting with
h=0.5 as initial value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc9847e1-ce8e-4a5f-90f5-4ceae9f39408%2F06dc5673-26ef-4d22-8ea4-bf748e1504b8%2F10d1cd7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4: The volume (V) of liquid in a hollow horizontal cylinder of radius (r) and length
(L) is related to the depth of liquid (h) by
V
= [r² cos-1 ¹ (1 = 2) - (r - h) √/2rh - r²] L
1
Use Newton-Raphson method to find water depth (h) ifr=2, L-5, V-8, starting with
h=0.5 as initial value.
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