Create a function MyContainer[R, L, l, H] in the program 'Mathematica' to determine the capacity of fluid in the container according to the given filling height H. The container is a cyclinder with cones on both sides.
The arguments of the function MyContainer[R, L, l, H] have to be changeable. The function has to have the property of being able to calculate the volume, irrespective of the values of the linear dimensions ( R,L,l).
Create a graph that depicts the filling height (H) dependance of the filling volume (v).
I really appreciate the help, I need to get started with this assignment, but I am not sure how. I am not very crafty at using Mathematica, it is one of the course homeworks that everybody has to submit.
The Attempt at a Solution
All I know is that I have to integrate to find the volumes, but I don't know how to write down the equations and the limits of the integrals.