PDA

View Full Version : Volume of 3 Cylinders


keosk10
Nov30-04, 02:03 PM
In this problem, three cylinders with a radius of 1 are intersecting along the x, y, and z axis and I'm supposed to find the volume. I noticed that the resulting shape has a cube in the center and there are 6 left over pieces on each face of the cube, so it would be

(sqrt of 2)^3 + 6*some integral.. I'm having trouble trying to figure out how to express this leftover piece of the shape. Any help?