Use double integration to find the volume of the solid that is common to the cylinders x^2 + y^2 =25 and x^2 + z^2 = 25.

Thank you very much.

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- Jul 23rd 2007, 04:19 PMkittycatDouble integration
Use double integration to find the volume of the solid that is common to the cylinders x^2 + y^2 =25 and x^2 + z^2 = 25.

Thank you very much. - Jul 23rd 2007, 04:47 PMgalactus
You could find the volume of one octant and then multiply by 8.

$\displaystyle 8\int_{0}^{5}\int_{0}^{\sqrt{25-x^{2}}}\sqrt{25-x^{2}}dydx$

=$\displaystyle 8\int_{0}^{5}(25-x^{2})dx$ - Jul 23rd 2007, 05:07 PMkittycat
Hi galactus,

thank you very much for your reply. Why multiple by 8? Could you please explain to me? Thanks. - Jul 23rd 2007, 06:32 PMThePerfectHacker
- Jul 24th 2007, 06:55 AMcurvature