# Help extending volumes of revolution to fourth dimension

1. Feb 19, 2012

### 2dB+2dB~5dB

I am currently learning about volumes of revolution in calulus, and have looked ahead to surfaces of revolution as well. I want to try and extend this concept to revolving 3d functions over the x-axis into the fourth dimension. I found this thread:
I attemted to use this idea to find the content of the revolution about the x-axis of the revolution about the x-axis of 4-x2 but I couldn't quite puzzle through the method described in the above thread for anything other than spheres. The closest I came was the surface area of the solid of revolution, and realizing that I need to describe the circumference of the 3d solid of revolution with respect to the radius and/or height (for a sphere of radius 1 it would be 2$\pi$ssin(r))