A tank has cross-sections in the form of isosceles triangels, vertex down. The top of the tank is 6ft wide, its height is 4ft, and its length is 10ft. find the work in pumping all the water to the top of the tank. (weight of water is 62.4 pounds per cubic feet)

Question

here is my solution:

F = 62.4(volume) = 62.4(3)(91^0.5)dy
for work integrate 4(62.4(3)(91^0.5)dy
with the boudaries of integration from y=0 to y=4