SOLUTION: A large cone of given size is being drained of water at the constant rate of 15 cubic cm each second. The water's surface level in the cone falls as a result. At what rate is the w

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Question 1083191: A large cone of given size is being drained of water at the constant rate of 15 cubic cm each second. The water's surface level in the cone falls as a result. At what rate is the water level falling when the water is 4cm deep?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A large cone of given size is being drained of water at the constant rate of 15 cubic cm each second. The water's surface level in the cone falls as a result. At what rate is the water level falling when the water is 4cm deep?
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No dimensions given.
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V+=+pi%2Ar%5E2%2Ah%2F3
r = h/k where k is a constant = height/radius of the cone.
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V+=+pi%2Ak%5E2%2Ah%5E3%2F3
dV%2Fdt+=+pi%2Ak%5E2%2Ah%5E2%2A%28dh%2Fdt%29
15+=+pi%2Ak%5E2%2A16%2A%28dh%2Fdt%29
dh%2Fdt+=+15%2F%2816pi%2Ak%5E2%29