Chapter 2, Problem 2.41P

Suppose $D=r^2\sin \theta a_r+\sin \theta \cos \varphi a_{\varphi }C/m^2$. (a) Determine the charge density at the point $(1.0m,45°,90°)$. Find the total flux through the surface of a volume defined by $0.0\le r\le 2.0m,0.0°\le \theta \le 90°$, and $0.0\le \varphi \le 180°$ by evaluating (b) the left side of the divergence theorem and (c) the right side of the divergence theorem.