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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 = nh² 13K-nl where V = volume (m³), h = %3D 3 depth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? Use the Newton-Raphson and the secant methods to determine your answer. Determine the approximate relative error (down to 0.1%) after each iteration. Note that an initial guess of R will always converge. %3D

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 13K-nl where V = volume (m³), h = %3D 3 depth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? Use the Newton-Raphson and the secant methods to determine your answer. Determine the approximate relative error (down to 0.1%) after each iteration. Note that an initial guess of R will always converge. %3D

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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1. 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 13R-h) - where V = volume (m³), h = 3 depth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? Use the Newton-Raphson and the secant methods to determine your answer. Determine the approximate relative error (down to 0.1%) after each iteration. Note that an initial guess of R will always converge. R h
Transcribed Image Text:1. 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 13R-h) - where V = volume (m³), h = 3 depth of water in tank (m), and R = the tank radius (m). If R = 3 m, what depth must the tank be filled to so that it holds 30 m³? Use the Newton-Raphson and the secant methods to determine your answer. Determine the approximate relative error (down to 0.1%) after each iteration. Note that an initial guess of R will always converge. R h
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