Question

A trough full of water is 12ft long & its cross section is in the shape of an isosceles trapezoid 1 ft high; 2 ft wide at the bottom and 3 ft wide at the top. Find the work done in pumping the water to a point 2 ft above the top of the trough.

can someone show me how to solve this via integral calculus?

Answer 1

can you draw figure??

Answer 2

figure????

Answer 3

well it's just a word problem..no figures included...but i do know how a trough looks like

Answer 4

"isosceles trapezoid 1 ft high; 2 ft wide at the bottom and 3 ft wide at the top." <--- seems like a triangle,

workdone = \( \int \vec F. \vec {dr} \)

Answer 5

uh-huh...

Answer 6

right?