Volumes are Awesome
Basically I know how to calculate the work for the cylinder. Since they have the same volume, we know the volume of the cones, but since they are the same depth underground, then how is the answer going to be different for any of these three. I know the work is the integral of the force, and the force is basically found by taking the volume * density * g...so why are they going to be different and how can I know?
1. That must be a funny liquid (Thinking)
Originally Posted by zhupolongjoe
2. Compare the distance of the centroids to the surface:
The distance of the centroid to the surface of the first cone is 2.5 m
The distance of the centroid to the surface of the cylinder is 5 m
The distance of the centroid to the surface of the second cone is 7.5 m
So, would the difference merely be that the limits of integration change in each instance? (i.e., we integrate the force and since the force is the same in each case since the volume is the same, the only thing that changes is the limits of integration, which relates to the distance of the centroid to the surface?)
I think I got it, thanks. I actually used a different method (slightly), but got answers that are likely equibalent. Thanks.