SOLUTION: The volume of water in a spherical tank having a diameter of 4m is 5.236 cubic meter. What is the depth of water in the tank?

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Question 766555: The volume of water in a spherical tank having a diameter of 4m is 5.236 cubic meter. What is the depth of water in the tank?
Answer by Alan3354(69443) About Me  (Show Source):
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The volume of water in a spherical tank having a diameter of 4m is 5.236 cubic meter. What is the depth of water in the tank?
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h = depth
Vol+=+pi%2Ah%5E2%2A%283r-h%29%2F3
Solving for h is tedious. Use iterative methods.
h Vol
0 0
0.10 0.061784656
0.20 0.242949832
0.30 0.537212344
0.40 0.938289006
0.50 1.439896633
0.60 2.03575204
0.70 2.719572041
0.80 3.485073451
0.90 4.325973085
1.00 5.235987757
1.10 6.208834282
1.20 7.238229475
1.30 8.31789015
1.40 9.441533123
1.50 10.60287521
1.60 11.79563322
1.70 13.01352397
1.80 14.25026428
1.90 15.49957096
2.00 16.75516082
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Looks like it's 1 meter.