I know that by integrating the surface area of a sphere we can get the formula of its volume.
Similarly, I wanted to find about other ways of doing this. So, I thought what if we divide the sphere into infinite circles or sections of the sphere and the add their areas for the volume and their perimeter for the surface area.
Problem is I am not able to do this. I tried but didn't work for me. I just knew the above logic but didn't know how to implement it.
So, I would like you to guide me on how I can do this and not just give a direct solution. Also, I would like to know about other ways for getting these results.
P.S.- if you are just giving me the answer can you explain it a bit. My calculus is not very strong. I know basic rules but I don't know how to set up the equations and I think that's where I am weak. How to implement this kind of logic.
