PROMPT
Problem #4: Evaluate the following integral,
Problem #4: frx2 + y2 + z2) dS, S where S is the part of the cylinder x2 + y2 = 49 between the planes z = 0 and z = 6, together with its top and bottom disks.
Enter your answer symbolically, as in these examples
Evaluate the following integral, frx2 + y2 + z2) dS, S where S is the part of the cylinder x2 + y2 = 49 between the planes z = 0 and z = 6, together with its top and bottom disks.