Integrals To Find Amount of Work Needed
I can't figure this out, I know how to do integrals, My problem is I can never set up the equations correctly. Can someone please help me solve this.
Toxic waste (a homogeneous liquid whose density is 300 kg/m^3) is stored in three buried containers. Each container, is 10 meters tall. The top of each container is at ground level. Each container has the same volume. One container is a circular right cone, the next is an inverted circular right cone, and the last a cylinder with radius 2m. Which container needs the least amount of work to empty? Which needs the most? Justify by calculating the work and then explaining why your answers make sense.