# Math Help - work problem

1. ## work problem

A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

I know this problem could be solved by

Work = density * weight * distance traveled by the center of the mass.

I'm having trouble finding the weight. I'm not sure if i should

$int from 0 to 16 x^2 dx$

2. Originally Posted by fastcarslaugh
A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

I know this problem could be solved by

Work = density * weight * distance traveled by the center of the mass.

I'm having trouble finding the weight. I'm not sure if i should

$int from 0 to 16 x^2 dx$

This post seems to be missing important information...

--Chris

3. no

it's not missing any information
it's straight from the book

4. Originally Posted by fastcarslaugh
A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of _____ from __ to __ . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is pounds per cubic foot.

I know this problem could be solved by

Work = density * weight * distance traveled by the center of the mass.

I'm having trouble finding the weight. I'm not sure if i should

$int from 0 to 16 x^2 dx$