Step 1: Analyzing the Motion of the Balls
According to the laws of physics, in the absence of air friction (as stated in the problem), the time taken by an object to fall to the surface is independent of its mass or material. This principle is based on the equivalence of gravitational acceleration for all objects near Earth's surface.
The gravitational acceleration is the same for all objects, so the insulating ball and the metallic ball will both experience the same force (gravity) and will fall with the same acceleration.
Step 2: Conclusion
Since both balls have the same size and mass, and air friction is negligible, they will reach the earth's surface at the same time.
Final Answer: Both the insulating ball and the metallic ball will reach the earth's surface simultaneously.