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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Water is being poured at the rate of 27 m' /min into an inverted conical tank that is 12-meter deep
with a radius of 6 meters at the top. If the water level is rising at the rate ofm/min and there is a
leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?
Transcribed Image Text:Water is being poured at the rate of 27 m' /min into an inverted conical tank that is 12-meter deep with a radius of 6 meters at the top. If the water level is rising at the rate ofm/min and there is a leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?
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