Area of cylinder part inside of another cylinder

Pam_pam

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Dec 11, 2016
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Hello, i am having trouble finding the area of the cylinder x^2+z^2=a^2 part which is inside of the cylinder y^2 +z^2=a^2
??? ?????.jpg
I thought using this formula but there is only two of three non-constant variables in cylinder equation, so i cant do like it could be
f9e978aa9e8d34d71f34e313750de36482.png
sphere.
gif.latex


I would be happy if someone told the way i should find this area.
 
Hello, i am having trouble finding the area of the cylinder x^2+z^2=a^2 part which is inside of the cylinder y^2 +z^2=a^2
View attachment 8806
I thought using this formula but there is only two of three non-constant variables in cylinder equation, so i cant do like it could be
f9e978aa9e8d34d71f34e313750de36482.png
sphere.
gif.latex


I would be happy if someone told the way i should find this area.
I think you're looking for (half of) the surface area of a Steinmetz Solid. ;)
 
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