- #1
AlmostFamous
- 14
- 0
I've proved the volume of a sphere using multiple integration but now i need to use that for the following:
find a so that the volume inside the hemisphere z=sqrt(16-x^2-y^2) and outside the cylinder [tex]x^2 + y^2= a^2[/tex] is one quarter of the hemisphere.
I'm having trouble even formulating an integral for this. Once it is set up as a multiple integral i'll be okay with it. Any help would be appreciated. Thanks
find a so that the volume inside the hemisphere z=sqrt(16-x^2-y^2) and outside the cylinder [tex]x^2 + y^2= a^2[/tex] is one quarter of the hemisphere.
I'm having trouble even formulating an integral for this. Once it is set up as a multiple integral i'll be okay with it. Any help would be appreciated. Thanks