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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 O
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 O and R. R
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