Calculate the volume of both spheres and subtract the volume of the smallest from the volume of the biggest.
Volume of a sphere = [4/3] π (r^3)
Volume of the big sphere = [4/3]π(3cm)^3
Volume of the small sphere = [4/3]π(2cm)^3
Space in between = [4/3]π (27 - 8) cm^3 = 79.59 cm^3