The E Coli Cell Is 2 $\mu$ M Long and 1 $\mu$

The E. coli cell is 2 $\mu$ m long and 1 $\mu$ m in diameter, while a typical eukaryotic cell is 20 $\mu$ m in diameter. Assuming that the E. coli cell is a perfect cylinder and the eukaryotic cell is a perfect sphere, calculate the surface-to-volume ratio for each cell type [cylinder volume V = $\pi$ r²h; cylinder area A = 2 $\pi$ r² + 2 $\pi$ rh; sphere volume V = 4/3( $\pi$ r³); sphere area 4 $\pi$ r²].What do these numbers tell you about the evolutionary changes that would have to occur to generate an efficient eukaryotic cell considering that most biochemical processes depend on membrane-bound processes.