Water is drained out of an inverted cone having the same dimensions as the cone depicted in
Question:
Water is drained out of an inverted cone having the same dimensions as the cone depicted in Exercise 29. If the water level drops at 1 ft/min, at what rate is water (in ft3/min) draining from the tank when the water depth is 6 ft?
Data from Exercise 29
An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft3/s (see figure). What is the rate of change of the water depth when the water depth is 3 ft? Use similar triangles.
Transcribed Image Text:
6 ft 12 ft Outflow 2 ft³/s
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Let h be the depth of the water in the tank at time t and let r be the ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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