SOLUTION: A glass bowl in the shape of a sphere having a radius of 4 cm is filled with water to a depth of 3 cm. If the water flows out through a small hole in the bottom so that the level d
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Question 1159818: A glass bowl in the shape of a sphere having a radius of 4 cm is filled with water to a depth of 3 cm. If the water flows out through a small hole in the bottom so that the level drops 2 cm,how much water has escaped? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A glass bowl in the shape of a sphere having a radius of 4 cm is filled with water to a depth of 3 cm. If the water flows out through a small hole in the bottom so that the level drops 2 cm,how much water has escaped?
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Find the volume at a level of 3 cm, then subtract the volume at a level of 1 cm.
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There's a formula for the volume at a given level. We use it at work. I don't have it here, but I can get it tomorrow from an old CRC book.
You might find it online, too.
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I could derive it, or do it by integration, but ...
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h = depth of the liquid, r = raidus = 4
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Vol =
