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2dB+2dB~5dB
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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:
https://www.physicsforums.com/showthread.php?t=64536
and saw how to find the content of a 3-ball (5th post).
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\pissin(r))
Can anyone point me in the right direction, or does this seem way too far past a Calculus DC student in high school? (and if so I'm still really interested in how this would work)
https://www.physicsforums.com/showthread.php?t=64536
and saw how to find the content of a 3-ball (5th post).
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\pissin(r))
Can anyone point me in the right direction, or does this seem way too far past a Calculus DC student in high school? (and if so I'm still really interested in how this would work)
