I am having a test the day right after spring break and throughout this time i don't know where to look for help, so i hope someone can help me with this problem...
The diameter of a circle pool is 24ft. the side is 5ft high and the depth of the water is 4ft. How much work is required to pump all of the water out over the side? Note: density of water is 1000kg/m^3, gravity=9.8m/s^2.
I tried to tackle this problem but I am not sure where I have done wrong
I set up the equation like this...
dWork = (dForce)(y) y - the distance from disc to top of the pool
(dVolume)(density)(gravity)(y) dV= (pi)(r^2)(dy)
dWork= (9.8)(1000)(Pi)(144) the integral from 1 to 5 (y)(5-y)(dy)
Hope I can get some guidance from some of the people in the forum