A water tank has the shape obtained by revolving the curve y = x+/3 around the y-axis. A plug at the bottom is re- moved at 12 noon, when the depth of water in the tank is 12 ft. At 1 P.M. the depth of the water is 6 ft. When will the tank be empty?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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A water tank has the shape obtained by revolving the curve
y = x+/3 around the y-axis. A plug at the bottom is re-
moved at 12 noon, when the depth of water in the tank is
12 ft. At 1 P.M. the depth of the water is 6 ft. When will
the tank be empty?
Transcribed Image Text:A water tank has the shape obtained by revolving the curve y = x+/3 around the y-axis. A plug at the bottom is re- moved at 12 noon, when the depth of water in the tank is 12 ft. At 1 P.M. the depth of the water is 6 ft. When will the tank be empty?
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