A cylindrical gasoline tank 4 feet in diameter and 4 feet long is carried on the bank of a truck and is used to fuel tractors. The axis of the tank is horizontal. The opening on the tractor tank is 5 feet above the top of the tank in the truck. Find the work done in pumping the entire gasoline contents that weighs 42 pounds per cubic feet of the fuel tank into a tractor. (Hint: Evaluate one integral by geometric formula and the other by observing that the integrand is an odd function.)
A) 9,408 ft-lb
B) 4,704 ft-lb
C) 2,352 ft-lb
D) 25,088 ft-lb
E) 20,608 ft-lb

Question

A cylindrical gasoline tank 4 feet in diameter and 4 feet long is carried on the bank of a truck and is used to fuel tractors. The axis of the tank is horizontal. The opening on the tractor tank is 5 feet above the top of the tank in the truck. Find the work done in pumping the entire gasoline contents that weighs 42 pounds per cubic feet of the fuel tank into a tractor. (Hint: Evaluate one integral by geometric formula and the other by observing that the integrand is an odd function.)
A) 9,408 ft-lb 
B) 4,704 ft-lb 
C) 2,352 ft-lb 
D) 25,088 ft-lb 
E) 20,608 ft-lb

Quizplus · Accepted Answer

The Answer is B

A Cylindrical Gasoline Tank 4 Feet in Diameter and 4