I need help doing the work, I think something might be wrong.

Question

How many glucose molecules does an E coli cell contain if it has an internal glucose concentration of 1.0 mM. The E coli is a cylinder that is 2 micrometers long and 1 micrometer in diameter.

pi*r^2*h
3.14 * .00005^2 * .0002 = 1.57x10^-12

1.57x10^-12 cm3 = 1.57 x 10 ^ -15 L

1 x 10 ^-3 moles/Liter x 1.57 x 10^-15 L = 1.57 x 10 ^ -18 moles of glucose

1.57 x 10^-18 * 6.02 x 10^ 23 = 945, 140 glucose molecules (?)

Answer 1

That looks ok to me.