(874, #39) Set up, but do not evaluate, integral expressions for
a) the mass;
b) the center of mass, and
c)the moment of inertia about the z-axis for the solid
in the first octant bounded by the cylinder
and the planes
,
, and
;
.
Solution:
a) mass
b) center of mass
, where
c) the moment of inertia
by: gm