Question

Evaluate the surface integral.
the double integral of
(x^2 + y^2 + z^2)dS
over Region S.
S is the part of the cylinder
that lies between the planes
z = 0 and z = 5,
together with its top and bottom disks

Can anyone help?

Answer 1

which cylinder?
the given surface is a sphere.
I think some info is missing.

It appears you want the area of a hemisphere, less the area of the spherical cap. Then just add the two circles.