SOLUTION: A fuel filter is in the shape of a right circular cone with height 50cm. Originally the oil filter was full but leak was discovered when the height of the oil in the filter was 20c

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Question 996181: A fuel filter is in the shape of a right circular cone with height 50cm. Originally the oil filter was full but leak was discovered when the height of the oil in the filter was 20cm.
What percentage of the original volume of oil leaked out?
Im completely lost in this question! someone help me!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A fuel filter is in the shape of a right circular cone with height 50cm. Originally the oil filter was full but leak was discovered when the height of the oil in the filter was 20cm.
What percentage of the original volume of oil leaked out?
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Vol+=+pi%2Ar%5E2%2Ah%2F3
r and h are linearly related, ie, r = k*h (k is some constant)
---> Vol+=+k%2Ah%5E3
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Leak amount = k*50^3 - k*20^3 = 125000k - 8000k = 117000k
117000k/125000k = 0.936
Leaked amount = 93.6%