Were you to double the radius of a black hole, its volume would increase by a factor of 8 (23) while its surface area would increase by only a factor of 4 (22); were you to increase its radius by a factor of a hundred, its volume would increase by a factor of a million (1003), while its surface area would increase only by a factor of 10,000 (1002). Big black holes have much more volume than they do surface area.2 Thus, even though black holes contain the greatest entropy among all things of a given size, Bekenstein and Hawking showed that the amount of entropy they contain is less than what
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