0 Compute the divergence of the function \mathbf{v}=(r \cos \theta) \hat{\mathbf{r}}+(r \sin \theta) \hat{\boldsymbol{\theta}}+(r \sin \theta \cos \phi) \hat{\boldsymbol{\phi}} . Check the divergence theorem for this function, using as your

volume the inverted hemispherical bowl of radius R, resting on the xy plane and centered at the origin