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03-1. You are designing a spherical tank (see figure below) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = nh²- (3R – h) 3 where V = volume (m³), h = depth of water in the tank (m), and R = the tank radius (m) If R = 3 m, to what depth must the tank be filled so that it holds 30 m? Use three iterations of the false- position method to determine your answer. Determine the approximate relative error after each iteration. Employ initial guesses of 0 and R.

03-1. You are designing a spherical tank (see figure below) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as V = nh²- (3R – h) 3 where V = volume (m³), h = depth of water in the tank (m), and R = the tank radius (m) If R = 3 m, to what depth must the tank be filled so that it holds 30 m? Use three iterations of the false- position method to determine your answer. Determine the approximate relative error after each iteration. Employ initial guesses of 0 and R.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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03- 1. You are designing a spherical tank (see figure below) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as , (3R – h) V = nh²- 3 where V = volume (m³), h = depth of water in the tank (m), and R = the tank radius (m) If R = 3 m, to what depth must the tank be filled so that it holds 30 m³? Use three iterations of the false- position method to determine your answer. Determine the approximate relative error after each iteration. Employ initial guesses of 0 and R.
Transcribed Image Text:03- 1. You are designing a spherical tank (see figure below) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as , (3R – h) V = nh²- 3 where V = volume (m³), h = depth of water in the tank (m), and R = the tank radius (m) If R = 3 m, to what depth must the tank be filled so that it holds 30 m³? Use three iterations of the false- position method to determine your answer. Determine the approximate relative error after each iteration. Employ initial guesses of 0 and R.
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