SOLUTION: The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank. the Answer is 1m but i should i get that value . thanks

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Question 969584: The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank. the Answer is 1m but i should i get that value . thanks :)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank.
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That's a spherical cap
Vol+=+pi%2Ah%5E2%283r+-+h%29%2F3 -- an obvious formula?
Vol = 5.236
r = 2
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5.236+=+pi%2Ah%5E2%286+-+h%29%2F3
6h%5E2+-+h%5E3+=+15.708%2Fpi+=+5
h%5E3+-+6h%5E2+%2B+5+=+0
h = 1 (by observation)
If it's not an obvious solution you have to solve the cubic.