Final answer:
The minimum height of a container to house four balls, each with a radius of 3.1 centimeters, when stacked on top of each other, is 24.8 centimeters.
Step-by-step explanation:
The minimum height of the container designed to hold four balls, with each ball having a radius of 3.1 centimeters, is found by calculating the total height of the balls when they are stacked on top of each other. Since the balls are stacked directly above one another, the height of one ball is twice its radius, which is 6.2 centimeters. For four balls, you simply multiply the height of one ball by four:
Height of one ball = 2 × radius = 2 × 3.1 cm = 6.2 cm
Total height for four balls = Height of one ball × number of balls = 6.2 cm × 4 = 24.8 cm
Therefore, the minimum height of the container must be at least 24.8 centimeters.