Volume of revolution of an irregular shape

hello

I am not sure about your question. what parts you want?

perhaps this pic help you

saludos

I should have been more specific. Well I am interested about the volume of many parts, in the attached doc:

(Q1, O1, I1, H1, F1) or

(T, D1, Q1, P1, N,L)

And to be even more specific - I want to modify in the drawing and see how the volumes change. It is not a finished drawing, there are point and areas missing but I thought it is a good start.

hello

you can also to use an integral formula for each shape similar I said in first post

example for (Q1, O1, I1, H1, F1)

made with maxima

being R=x(I_1)-x(F_1) this easier if you create the segment because R is the value of segment

r=radius[d_3]

h=y(L_1)-y(F_1)

you can define a function f(x,y,z) like the screenshoot of maxima

then f(R,r,h) says the volumen

saludos

saludos

First of all - Thank you for your answer.

It took me some time to answer you back cos I wanted to check what you wrote here. I do not believe that your integrate is correct but!

But now I know that geogebra can not calculate the volume on its own. I made an integral - actually I made two to count the volume and it works - I used the maxima program as well, thanks for that too.

I made the integrals on paper but I used geogebra to calculate the function of circle. (the center point of the radius is not at all obvious and very important) -->attached file

Now I have to figure out the integral for the other volumes I want and put it in a dinamic geogebra file where I can modify the volumes. - Needle to say, I will be back as soon as I have time. :)

Thanks!