Moment of inertia of cylinder shell

Question 1

CYLINDER SHELL (central axis)

Answer 1

MR^2

Question 2

CYLINDER SHELL (tangent to central axis)

Answer 2

2MR^2

Question 3

CYLINDER SHELL (axis perpendicular to central axis)

Answer 3

M[(L^2/12)+(R^2/2)]

Question 4

CYLINDER SHELL (abt diameter on one phase of cylinder)

Answer 4

M[(L^2/3)+(R^2/3)]