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An open tank has the shape of a right circular cone, as indicated in the figure to the right. The tank is 8 feet across the top and 6 feet high. Initially, the tank is completely filled with a liquid with a density of 12 pounds per cubic foot. The tank is emptied by pumping the liquid out from the top of the tank. How much work is done to remove all of the liquid? 64 6-y Ay Show work by graphing the corresponding cross- section of the tank and using that graph to write your work integral. -4 -2

An open tank has the shape of a right circular cone, as indicated in the figure to the right. The tank is 8 feet across the top and 6 feet high. Initially, the tank is completely filled with a liquid with a density of 12 pounds per cubic foot. The tank is emptied by pumping the liquid out from the top of the tank. How much work is done to remove all of the liquid? 64 6-y Ay Show work by graphing the corresponding cross- section of the tank and using that graph to write your work integral. -4 -2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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An open tank has the shape of a right circular cone, as indicated in the figure to the right. The tank is 8 feet across the top and 6 feet high. Initially, the tank is completely filled with a liquid with a density of 12 pounds per cubic foot. The tank is emptied by pumping the liquid out from the top of the tank. How much work is done to remove all of the liquid? 64 6- y Ay Show work by graphing the corresponding cross- section of the tank and using that graph to write your work integral. -4 2.
Transcribed Image Text:An open tank has the shape of a right circular cone, as indicated in the figure to the right. The tank is 8 feet across the top and 6 feet high. Initially, the tank is completely filled with a liquid with a density of 12 pounds per cubic foot. The tank is emptied by pumping the liquid out from the top of the tank. How much work is done to remove all of the liquid? 64 6- y Ay Show work by graphing the corresponding cross- section of the tank and using that graph to write your work integral. -4 2.
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