to surpass it? Assume that the universe has been expanding at the speed of light for 10 billion years. (Use 10^8 meters per second as your value for the speed of light.) Assume that the universe expanded this fast IN EACH DIRECTION. Since we live in a 3-dimensional world, there are 3 different directions. Basically imagine that the universe started out as a point, and expands as a cube.\
Now assume that there are 10 billion people on Earth now, and each one of them has the volume of 1 cubic meter. Also assume that the population of Earth doubles every 100 years. How long will it take until the volume of the entire universe is 100% made up of people?
For this problem, you don't have to worry about how much more the universe expands while the population of Earth is getting bigger -- assume that the universe expands for 10 billion years, and then stops expanding.
Now assume that there are 10 billion people on Earth now, and each one of them has the volume of 1 cubic meter. Also assume that the population of Earth doubles every 100 years. How long will it take until the volume of the entire universe is 100% made up of people?
For this problem, you don't have to worry about how much more the universe expands while the population of Earth is getting bigger -- assume that the universe expands for 10 billion years, and then stops expanding.