Answer :
We do as follows:
[Entire sphere] - [Inner sphere] = Outer layer
radius of Entire sphere = 9 cm
radius of Inner sphere = 4.5 cm
[(4/3)(3.14)(9)^3] - [(4/3)(3.14)(4.5)^3]
= (3052.08) - (381.51)
= 2670.57 cubic centimeters
[Entire sphere] - [Inner sphere] = Outer layer
radius of Entire sphere = 9 cm
radius of Inner sphere = 4.5 cm
[(4/3)(3.14)(9)^3] - [(4/3)(3.14)(4.5)^3]
= (3052.08) - (381.51)
= 2670.57 cubic centimeters