The lateral surface area, S, of a cone is given by: S = ar/r² + h² where r is the radius of the base and h is the height. Determine the radius of a cone which has a surface area of 1220 m^2 and a height of 20 m, by calculating the first 5 iterations using the fixed-point iteration method. Use r = S/(T/r² + h²) as the iteration function. Start with r = 17 m. What is the value of the last iteration? (5 significant figures)
The lateral surface area, S, of a cone is given by: S = ar/r² + h² where r is the radius of the base and h is the height. Determine the radius of a cone which has a surface area of 1220 m^2 and a height of 20 m, by calculating the first 5 iterations using the fixed-point iteration method. Use r = S/(T/r² + h²) as the iteration function. Start with r = 17 m. What is the value of the last iteration? (5 significant figures)
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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Transcribed Image Text:The lateral surface area, S, of a cone is
given by:
S = ar/r² + h²
where r is the radius of the base and h is
the height. Determine the radius of a
cone which has a surface area of 1220
m^2 and a height of 20 m, by calculating
the first 5 iterations using the fixed-point
iteration method. Use
r = S/(T/r² + h²) as the iteration
function. Start with r = 17 m. What is the
value of the last iteration? (5 significant
figures)
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