The human genome consists of DNA with strings of base pairs. An article in Nature claims the DNA in each human cell has about 6 billion base pairs (6 x 109

) and that each base pair has a size (diameter) of about 1/3 of a nanometer (0.3 x 10-9 m). Is this possible? First, estimate how long this DNA would be if it were stretched out in a long chain. Second, if instead it were tightly packed into a spherical volume, estimate the diameter of that sphere. Be sure to clearly state your assumptions and how you came to the numbers you estimated, since grading on this problem will be mostly based on your reasoning, not on your answer.