My problem says that I need to figure out how much work has to be done to pump all of the water out over the side of a 5 foot tall circular pool, but the water is only 4 feet deep. I was wondering, would my integral be from 0 to 4 or 1 to 5?
Here is what I've set up:
Given: Weight of water = 62.4 lbs per cubic foot, diameter of pool = 24 ft
W = 62.4(144pi/25) integral (5y^3 - y^4)dy
Is that right? And would the integral be from 1 to 5 or 0 to 4?