# Math Help - volume of solid using triple integrals

1. ## 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

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