Estimate the surface-to-volume ratio of a c60 fullerene by treating the molecule as a hollow sphere and using 77pm for the atomic radius of carbon.

The surface-to-volume ratio of a C-60 fullerene is 3:77.

Explanation:

Surface area of sphere =

Volume of the sphere =

where : r  = radius of the sphere

Radius of the C-60 fullerene sphere = r = 77 pm

Surface area of the C-60 fullerene = ...[1]

Volume area of the C-60 fullerene = ..[2]

Dividing [1] by [2]:

The surface-to-volume ratio of a C-60 fullerene is 3:77.