# Find the volume of the intersection of the regions $x^2+y^2\leq R^2$ and $x^2+z^2\leq R^2$ for any $R>0$. [duplicate]

I'm not sure if I use spherical coordinates for this question

## marked as duplicate by Hans Lundmark, Leucippus, mechanodroid, Namaste, SilOct 22 '17 at 17:40

The projection onto $yz$ plane is a square. So, is the use of polar coordinates a proper method?