change in depth of water

Jul 2010
2
0
A bowl is created by taking the graph \(\displaystyle y=\frac{x^4}{100}\) from \(\displaystyle x=0\) to \(\displaystyle x=6\) and revolving it around the y-axis. Milk is being poured into the bowl at a constant rate of 200 cubic feet per minute. A crack in the bowl appears when the milk reaches a depth of 5 feet, causing milk to leak out of the bowl at 30 cubic feet per minute. What is the rate of change in the depth of the milk when the milk reaches a depth of 12 feet?
 
Jul 2010
432
166
Vancouver
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