volume of intersecting cylinders

bkvanbek

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How do I calculate the volume of cylinders when they intersect each other at 90 degrees. In this case they are 15 centimeters in diameter every 40 centimeters each way. I can calculate the volume of the cylinders but I don't know how to subtract 4 the intersection.
 
How do I calculate the volume of cylinders when they intersect each other at 90 degrees. In this case they are 15 centimeters in diameter every 40 centimeters each way. I can calculate the volume of the cylinders but I don't know how to subtract 4 the intersection.

Did you do a google search? In particular, did you look at:

http://mathworld.wolfram.com/SteinmetzSolid.html

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/threads/77972-Read-Before-Posting!!
 
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Thanks for the link. However it is still beyond my abilities to calculate. Can someone help further to get me the volume of the intersection?
This is for a concrete wall, of 15cm columns and beams every 40cm .
 
So if I got this right for my concrete wall of 7.5 cm radius cylinders every 40cm each way. A square meter of wall has a volume of .0742947934 cubic meters?
 
Please reply with the full and exact text of the exercise, the complete instructions, a link to a scan of any required graphic, and a clear listing of your steps by which you obtained your solution. Thank you! ;)
 
Please reply with the full and exact text of the exercise, the complete instructions, a link to a scan of any required graphic, and a clear listing of your steps by which you obtained your solution. Thank you! ;)

I would like to know the volume of a square meter of wall consisting of 15 centimeter diameter columns and beams that are every 40 centimeters each way.
Using an online calculator I determined the volume of the columns
Using another online calculator I determined then subtracted the volume of the intersection
I would like to verify the result of.0742947934 cubic meters / square meter of wall
 
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