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?.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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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.
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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