A cylindrical tank 4 feet in diameter and 5 feet long is carried on the back of a truck and is used to fuel tractors. The axis of the tank is horizontal. Write the integral representing the following:
a. The work done in pumping the entire contents of the fuel tank into a tractor if the opening on the tractor is 3 feet above the tank in the truck. (assume the tank is full and the gasoline weighs 42 lbs per cubic foot.)
b. The fluid force on a circular end of the tank, assuming the tank is full and the gasoline weighs 42 lbs per cubic foot.
for the first one i got 420 (integral -2 to 2) (5-y)(sqroot(2^2-y^2))dy
and for b i got 42 (integral -2 to 2) 2(sqroot(2^2-y^2)(2-y))dy
this was on a previous exam im looking over while studying for the final. i was given full points for this question, but a tutor id seen is telling me that i got it wrong. i dont remember exactly how i got those answers. i dont remember the formula to the equation. and the constant "420" i think is what the tutor said i got wrong...