# Problem: Calculate the moment of inertia of each of the following uniform objects about the axes indicated.a) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through its center.b) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through one end.c) A thin 3.10-kg rod of length 80.0 cm, about an axis parallel to the rod and passing through it.d) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is solid.e) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is a thin-walled hollow shell.f) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm , about the central axis of the cylinder, if the cylinder is solid.g) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm, about the central axis of the cylinder, if the cylinder is thin-walled and hollow.

###### Problem Details
Calculate the moment of inertia of each of the following uniform objects about the axes indicated.
a) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through its center.
b) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through one end.
c) A thin 3.10-kg rod of length 80.0 cm, about an axis parallel to the rod and passing through it.
d) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is solid.
e) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is a thin-walled hollow shell.
f) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm , about the central axis of the cylinder, if the cylinder is solid.
g) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm, about the central axis of the cylinder, if the cylinder is thin-walled and hollow.