# volume of solid using triple integrals

• April 29th 2009, 09:46 PM
tennisplaya999
volume of solid using triple integrals
Find the volume of the solid that the cylinder r=a cos theta cuts out of the sphere of radius a centered at the origin using triple integrals and spherical or cylindrical coordinates

thanks :)
• April 30th 2009, 05:12 AM
NonCommAlg
Quote:

Originally Posted by tennisplaya999
Find the volume of the solid that the cylinder r=a cos theta cuts out of the sphere of radius a centered at the origin using triple integrals and spherical or cylindrical coordinates

thanks :)

$\int_{\frac{- \pi}{2}}^{\frac{\pi}{2}} \int_0^{a \cos \theta} \int_{-\sqrt{a^2 - r^2}}^{\sqrt{a^2 - r^2}} r \ dz \ dr \ d \theta$