I have an image attached that explains this project in more detail. enter image description here enter image description hereI need help with part g. I need help just setting up the correct interval. I know what to do afterwards, but I need to set up the correct integral in order to solve anything else. I know that I have my integral for volume of water. I also know that I have my distance with the straw. I also know the weight of water.
How am I supposed to combine these together to make a formula for work? I know Work requires a Force function, such as: F= mass times acceleration, F=density times volume times acceleration, F=density times gravity times surface area of a fluid times height of fluid
Which equation am I supposed to use? Am I even on the right track? Please help, as I am taking Calculus 2 online, and my teacher is largely unavailable. Also, you may edit my question as needed. I am new to this community and am new to figuring things out, so please do not down vote without notifying me of any issues, as I want to be helpful in maintaining this community.
You are lifting disks of water of volume $A(x)dx$ up a distance $h-x$ where $h$ =height of straw and $A(x)$ = area of cup at height $x$. So integrate that (multiplied by density times g) over the depth of the water.