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July 5, 2015

Homework Help: Calculus

Posted by Martin on Saturday, February 23, 2008 at 5:33pm.

A leaky cylindrical oilcan has a diameter of 4 inches and a height of 6 inches. The can is full of oil and is leaking at the rate of 2 cubic inches/hr. The oil leaks into an empty conical cup with a diameter of 8 inches and a height of 8 inches.

a. At what rate is the depth of the oil in the conical cup rising when the oil in the cup is 3 inches deep?
b. When the oilcan is empty, what is the depth of the oil in the conical cup?

Please show step-by-step work in your answers. Thanks in advance! :)

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