3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter deep with a radius of meters at the top. If the level is rising at the rate of I m/min and there is a leak at the bottom of the tank, how fast is the wter leaking when the water is 6-meter deep?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Water is being poured at the rate of 2 z m³/min. Into an inverted conical tank
that is 12-meter deep with a radius of 6 meters at the top. If the level is rising at the
rate of m/min and there is a leak at the bottom of the tank, how fast is the wter
6
leaking when the water is 6-meter deep?
Transcribed Image Text:3. Water is being poured at the rate of 2 z m³/min. Into an inverted conical tank that is 12-meter deep with a radius of 6 meters at the top. If the level is rising at the rate of m/min and there is a leak at the bottom of the tank, how fast is the wter 6 leaking when the water is 6-meter deep?
Additional Activities
DIRECTIONS: Read each problem carefully and solve it using implicit differentiation
Write your solutions on a separate sheet.
Transcribed Image Text:Additional Activities DIRECTIONS: Read each problem carefully and solve it using implicit differentiation Write your solutions on a separate sheet.
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