Volumes

[jeca86]

a circular swimming pool has a diameter of 24ft, the sides are 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? Use the fact that water weighs 62.5 lb/ft^3.

So I have V=(pi)(12^2) dx
Is this right? What do I do next???

 

[Gene]

Work = force times distance.
Force = 62.5 * A * dx

Distance = 1 + x
dW=62.5*12²*pi*(1+x)dx
Integrate from x = 0 to 4

or
Distance = x
dW=62.5*12²*pi*(x)dx
Integrate from x = 1 to 5