- #1
bugatti79
- 794
- 1
Homework Statement
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
Homework Equations
##\int\int\int div(F)dV##
The Attempt at a Solution
My attempt
The radius of the sphere is 4 and div F= 1, therefore the integral becomes
##\int\int\int div(F)dV=\int_0^{2\pi} \int_0^{\pi} \int_0^{4} 1dV=\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?
Thanks