A vertical right-circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full of liquid weighing 51.8 Ib / ft. How much work does it take to pump liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. %3D O dy W = (Type exact answers, using a as needed.)
A vertical right-circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full of liquid weighing 51.8 Ib / ft. How much work does it take to pump liquid to the level of the top of the tank? Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank. %3D O dy W = (Type exact answers, using a as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A vertical right-circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full of liquid weighing 51.8 Ib / ft. How much work does it take to pump the
liquid to the level of the top of the tank?
Let y = 0 correspond to the bottom of the tank. Set up the integral that gives the work required, in ft-lb, to pump the liquid to the top of the tank.
%3D
O dy
W =
(Type exact answers, using a as needed.)
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