SOLUTION: Water is dripping slowly through the bottom of a small conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each minute. How fast is the

Algebra ->  Trigonometry-basics -> SOLUTION: Water is dripping slowly through the bottom of a small conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each minute. How fast is the       Log On


   



Question 613427: Water is dripping slowly through the bottom of a small
conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each
minute. How fast is the water level dropping at the moment when the water is 3 cm deep? Give
your answer both in exact form and to four decimal places.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Water is dripping slowly through the bottom of a small
conical cup that is 4 cm across and 6 cm deep. The cup loses half a cubic centimetre of water each
minute. How fast is the water level dropping at the moment when the water is 3 cm deep?
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Vol+=+pi%2Ar%5E2%2Ah%2F3
r = 2, h = 6
r = h/3
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Vol+=+pi%2A%28h%2F3%29%5E2%2Ah%2F3+=+pi%2Ah%5E3%2F27
dV%2Fdt+=+%28pi%2Ah%5E2%2F9%29%2A%28dh%2Fdt%29
@ h = 3: 1+cm%2Fmin+=+%28pi%2A9%2F9%29%2A%28dh%2Fdt%29
dh%2Fdt+=+1%2Fpi cm/min