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You are to design a spherical tank to hold water. The volume of the liquid it can hold can be calculated as, V = nh? (3R – h)/3 Where V is the volume in ft’, h is the depth of the water (ft.) and R is the radius (ft.). If R=10 ft, what depth must the tank be filled to hold 1000 ft³ of water ? Find the most efficient method using three iterations. Use initial guess of 0 and R. R

You are to design a spherical tank to hold water. The volume of the liquid it can hold can be calculated as, V = nh? (3R – h)/3 Where V is the volume in ft’, h is the depth of the water (ft.) and R is the radius (ft.). If R=10 ft, what depth must the tank be filled to hold 1000 ft³ of water ? Find the most efficient method using three iterations. Use initial guess of 0 and R. R

Advanced Engineering Mathematics
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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You are to design a spherical tank to hold water. The volume of the liquid it can hold can be calculated as, V = nh² (3R – h)/3 Where V is the volume in ft’, h is the depth of the water (ft.) and R is the radius (ft.). If R=10 ft, what depth must the tank be filled to hold 1000 ft³ of water ? Find the most efficient method using three iterations. Use initial guess of 0 and R. R
Transcribed Image Text:You are to design a spherical tank to hold water. The volume of the liquid it can hold can be calculated as, V = nh² (3R – h)/3 Where V is the volume in ft’, h is the depth of the water (ft.) and R is the radius (ft.). If R=10 ft, what depth must the tank be filled to hold 1000 ft³ of water ? Find the most efficient method using three iterations. Use initial guess of 0 and R. R
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