I have an issue in a project where I am trying to find volume of a water pot through the use of double and triple integration. for that, I have to first plot the pot on a 3d graph but I am not really sure how it works or how it goes. Please help out. Moreover, performing integrals through the graph so I need to obtain equation of graph and also limits. Please helpHere is the picture of the water pot
With the help of the answer I plotted a circle and hyperbola reffereing to the points that I already had. I am not able to graph it on 3D platform, can someone help:2D graph:
I don't really know if this is what you want but I tried modeling that pot using simple functions (a sphere and a hyperboloid) and it went something like this:
I made a model in 2D and one in 3D, the 2D one is a slice of the 3D one, the equations are the ones seen in the pictures.
Those are just a sketch, I didn't actually check if the sphere intersects with the hyperboloid or not, and the values I used were chosen by eye, if this is what you're looking for I can help you finding good values for those constants afterwards.
Also, the pot on the picture is a bit more flat than a sphere, I could also change that on our model if you'd like, using something like a parabola or so.
What are your toughts? Does this help or is this not what you're looking for?
(If this doesn't help, you can also try out fourier series, I don't actually know how to model that with those but I know its possible, its just a matter of research).