If a human nucleus is 10µm in diameter, and it must hold as much as 2 m of DNA, which is...

If a human nucleus is 10µm in diameter, and it must hold as much as 2 m of DNA, which is complexed into nucleosomes that during full extension are 11 nm in diameter, what percentage of the volume of the nucleus is occupied by the genetic material?

HINT: This problem asks you to make some numerical calculations in order to see just how "filled" the eukaryotic nucleus is with a diploid amount of DNA. The key to its solution is the use of the formula , which calculates the volume of a sphere.