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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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