A rectangular tank that is 2 feet long, 2 feet wide, and 12 feet deep is filled with a heavy liquid that weighs 90 pounds per cubic foot. In each part below, assume that the tank is initially full. Your answers must include the correct units. (You may enter lbf or lb*ft for ft-lb.) (a) How much work is done pumping all of the liquid out over the top of the tank?  (b) How much work is done pumping all of the liquid out of a spout 5 feet above the top of the tank?  (c) How much work is done pumping two-thirds of the liquid out over the top of the tank?  (d) How much work is done pumping two-thirds of the liquid out of a spout 5 feet above the top of the tank?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 31A: A zinc casting is in the shape of a frustum of a right circular cone. The larger base area is 280...
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A rectangular tank that is 2 feet long, 2 feet wide, and 12 feet deep is filled with a heavy liquid that weighs 90 pounds per cubic foot. In each part below, assume that the tank is initially full. Your answers must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
(a) How much work is done pumping all of the liquid out over the top of the tank? 
(b) How much work is done pumping all of the liquid out of a spout 5 feet above the top of the tank? 
(c) How much work is done pumping two-thirds of the liquid out over the top of the tank? 
(d) How much work is done pumping two-thirds of the liquid out of a spout 5 feet above the top of the tank? 

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