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An inverted right-circular cone-shaped tank filled with water is leaking at a constant rate of 12 ft/hr. The tank has a base radius of 3 ft and height of 9 ft. How fast is the depth of the water changing when the depth is 6 ft? The answer can be left in fractional form with T. Be sure to include the units.

An inverted right-circular cone-shaped tank filled with water is leaking at a constant rate of 12 ft/hr. The tank has a base radius of 3 ft and height of 9 ft. How fast is the depth of the water changing when the depth is 6 ft? The answer can be left in fractional form with T. Be sure to include the units.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 7P
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Assignment: Complete the following related rates word problem. Include a well-labeled figure and supporting mathematical statements within a grammatically correct exposition. An inverted right-circular cone-shaped tank filled with water is leaking at a constant rate of 12 ft /hr. The tank has a base radius of 3 ft and height of 9 ft. How fast is the depth of the water changing when the depth is 6 ft? The answer can be left in fractional form with T. Be sure to include the units.
Transcribed Image Text:Assignment: Complete the following related rates word problem. Include a well-labeled figure and supporting mathematical statements within a grammatically correct exposition. An inverted right-circular cone-shaped tank filled with water is leaking at a constant rate of 12 ft /hr. The tank has a base radius of 3 ft and height of 9 ft. How fast is the depth of the water changing when the depth is 6 ft? The answer can be left in fractional form with T. Be sure to include the units.
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