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

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.2PS: By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form...
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Roots equation, Numerical Method

 

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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