Space between H2O molecules

From: Druid (sniffmyhand2_at_yahoo.com)
Date: 09/05/04 

Date: 4 Sep 2004 23:39:02 -0700

Greetings All,

I am new to this forum. I would like to gain assistance from you math
wizards if you'll be so kind as to pass some knowledge on to me.

This problem is taken from Consider a Spherical Cow by John Harte.

"Estimate the average spacing between H2O molecules in liquid water by
making use of two pieces of information:

a. liquid water has a density of 1 gm/cm3
b. every 18 grams of water contain Avogadro's number (6.02 x 10 to
the 23) of H2O molecules

assume the diameter of H and O is 1 angstrom or 10 to the -10 meters"

I keep getting an answer of no space between molecules.