# Thread: Divergence Theorem

1. ## Divergence Theorem

Folks,

Verify the divergence theorem for

F(x,y,z)=zi+yj+xk and G the solid sphere x^2+y^2+z^2<=16

My attempt

The radius of the sphere is 4 and div F= 2, therefore the integral becomes

$\displaystyle \int\int\int div(F)dV=\int_0^{2\pi} \int_0^{\pi} \int_0^{4} 2dV=\int_0^{2\pi} \int_0^{\pi} \int_0^{4} 2\rho^2 sin (\phi) d\rho d\phi d \theta$

Is this correct so far?