# Solved Problems-11

Problem-11

Given that , evaluate both sides of the divergence theorem for the volume enclosed by

*r*= 2,*z*= 0 and*z*= 5.Solution

Here,

The cylinder has three surfaces as follows.

For the top surface,

For the bottom surface,

For the curved surface,

By addition, total surface area of the closed cylinder is given as,

Also,

and hence, divergence theorem is verified.

The cylinder has three surfaces as follows.

For the top surface,

For the bottom surface,

For the curved surface,

By addition, total surface area of the closed cylinder is given as,

Also,

and hence, divergence theorem is verified.