The ends of a water trough have the shape of the region bounded by the graphs y=x^2 and y=4. To what depth must the trough be filled with water so that the force of the water exerted on either end of the trough is 779.423 lbs? (Water has a density of 62.5 lbs/ft^3. Both x and y are measured in feet. How do I start?

Question

amistre64 · Answer

starting with a picture is best

amistre64 · Answer

|dw:1331404371792:dw|

anonymous · Answer

Alright. That's similar to my picture. Are we working in terms of x or y?

amistre64 · Answer

doesnt really matter; but since the directions give x and y as standards lets assume x is horizon and y is vert

anonymous · Answer

I mean, are we using dx or dy when we integrate?

amistre64 · Answer

now is the side considered the front and back flat panels?|dw:1331404596571:dw|