The left end of a long glass rod 8.00cm in diameter, with an index of refraction 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.00cm. An object in the form of an arrow 1.50mm tall, at right angles to the axis of the rod, is located on the axis 24.0cm to the left of the vertex of the convex surface. Find the position and height of the image of the arrow formed by paraxial rays incident on the convex surface. Is the image erect or inverted?