Just a Simple* Math Question

[The_Mark]

Equation is 3+0.1x for the line of the side of the cone. Integrate this equation by using the disc solid of revolution method from 0 to 5 for the water-filled 5 cm stuff, and from 0 to 10 for the full capacity. The full equation would be something like:
pi * INTEGRAL((3+0.1x)^2)dx
with the integral limits being 0 and 5, and 0 and 10, respectively.

Yes. This is how I'd do it. I'll just explain how to get the line of the side of the cone, as it would seem to be your problem with this thing.

Just think of the cone and take a cross-section of it along the axis and you'll see the line on the cross-section plane. Then, if you think of the cross-section plane as your basic (x,y) plane you can simply regard the question as the usual analytic geometry - find the equation of the line, and after that it's the integration described above. Try drawing a picture of it, pictures are nice. Pictures are your friend.

Edit. Ahh, it feels good to integrate for a while, even if only schematically. *leaves to integrate happily into the night*

Edit2. Yes, it's simple. I'd be damned if it was for credit. Where are you studying? We might as well compare educational systems while at it, as well