You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as: 2 (3R – h) V = th 3 where : V = volume, m' h = depth, m R= radius, m If R = 3m, to what depth must the tank be filled so that it holds a volume of 30m? SO

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Instruction:
1. Review your Advance Mathematics and Numerical Methods specially on the topics of root
finding.
2. Using root finding numerical methods, solve the given problem.
3. Make a program in Microsoft excel that will solve the problem at the given volume of the
tank.
4. The program must tell us to stop the iteration when the approximate error is below
0.00001%. You can use any method you prefer, whether from bracketing methods or from
open methods.
5. Provide also a graph showing the changes in volume vs height.
6. The theoretical formulae must be written within the file (DO NOT use the built in excel
formulae).
5. Create your own format (it must be unique and different from your classmates).
6. Sheet 1 will be for the main program, use other sheets if needed for tables of properties.
PROBLEM:
You are designing a spherical tank to hold water for a small village. The volume of liquid it
can hold can be computed as:
2 (3R – h)
V = nh
3
where : V = volume, m² h = depth, m
R = radius, m
If R = 3m, to what depth must the tank be filled so that it holds a
volume of 30m?
Transcribed Image Text:Instruction: 1. Review your Advance Mathematics and Numerical Methods specially on the topics of root finding. 2. Using root finding numerical methods, solve the given problem. 3. Make a program in Microsoft excel that will solve the problem at the given volume of the tank. 4. The program must tell us to stop the iteration when the approximate error is below 0.00001%. You can use any method you prefer, whether from bracketing methods or from open methods. 5. Provide also a graph showing the changes in volume vs height. 6. The theoretical formulae must be written within the file (DO NOT use the built in excel formulae). 5. Create your own format (it must be unique and different from your classmates). 6. Sheet 1 will be for the main program, use other sheets if needed for tables of properties. PROBLEM: You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as: 2 (3R – h) V = nh 3 where : V = volume, m² h = depth, m R = radius, m If R = 3m, to what depth must the tank be filled so that it holds a volume of 30m?
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