A conical water tower with vertex down has a radius of 10 ft at the top and is 18 ft high. If water flows into the tank at a rate of 25 ft³/min, how fast is the depth of the water increasing when the water is 14 ft deep? Round your answer to two decimal places.

A conical water tower with vertex down has a radius of 10 ft at the top and is 18 ft high. If water flows into the tank at a rate of 25 ft³/min, how fast is the depth of the water increasing when the water is 14 ft deep? Round your answer to two decimal places.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 17CQ

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Question

A conical water tower with vertex down has a radius of 10 ft at the top and is 18 ft high. If water flows into the tank at a rate of 25
ft³/min, how fast is the depth of the water increasing when the water is 14 ft deep?
Round your answer to two decimal places.

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