A fuel tank has the shape of an upright cylinder with radius r = 2 ft. and height 8 ft. Assume the tank is only filled to a depth of 4 ft., as shown. 8 ft Write (but do not evaluate!) a definite integral that would give the work done in pumping the fuel out the top of the tank. You may assume that the weight density of the fuel is 50 Ibs./ft?.
A fuel tank has the shape of an upright cylinder with radius r = 2 ft. and height 8 ft. Assume the tank is only filled to a depth of 4 ft., as shown. 8 ft Write (but do not evaluate!) a definite integral that would give the work done in pumping the fuel out the top of the tank. You may assume that the weight density of the fuel is 50 Ibs./ft?.
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 fuel tank has the shape of an upright cylinder with radius r = 2 ft. and height 8 ft. Assume the tank is only filled to a depth of 4 ft., as shown.
2 ft
8 ft
4 ft
Write (but do not evaluate!) a definite integral that would give the work done in pumping the fuel out the top of the tank. You may assume that the weight density of the fuel is
50 Ibs./ft3.
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