Solve the all parts of given problem:
Problem: The left end of a long glass rod, 8.00 cm in diameter, has a convex hemispherical surface 4.00 cm in radius. The refractive index of the glass is 1.60.
Part I: Determine the position sb of the image of an object placed in air on the axis of the rod infinitely far from the left end of the rod.
sb=___________cm
Part II: Determine the position sb of the image if an object is placed in air on the axis of the rod 18.0cm to the left of the end of the rod.
sb=___________cm
Part III: Determine the position sb of the image if an object is placed in air on the axis of the rod 4.00cmfrom the left end of the rod.
sb=___________cm
Please use great detail in explaining the solution. Thank you.