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April 14th, 2017, 03:54 PM   #1
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Calculating three intersecting cylinders

Three cylinders of radius 1 intersect at right angles at the origin, as shown in the picture
Find the volume contained inside all three cylinders.

ps: what tool do you all use to inject math symbols here?

Answer: 16 - 8sqrt(2)

This is what I come up but again incorrect...

$\displaystyle \int_{-1}^{1}\int_{y=-\sqrt{1 - x^2}}^{y=\sqrt{1 - x^2}}\int_{z=-\sqrt{1 - y^2}}^{z=\sqrt{1 - y^2}} dzdydx $
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Last edited by zollen; April 14th, 2017 at 03:58 PM.
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