Answer :
Answer:
The surface-to-volume ratio of a C-60 fullerene is 3:77.
Explanation:
Surface area of sphere = [tex]S=4\pi r^2[/tex]
Volume of the sphere = [tex]V=\frac{4}{3}\pi r^3[/tex]
where : r = radius of the sphere
Radius of the C-60 fullerene sphere = r = 77 pm
Surface area of the C-60 fullerene = [tex]S=4\pi (77 pm)^2[/tex]...[1]
Volume area of the C-60 fullerene = [tex]V=\frac{4}{3}\pi (77 pm)^3[/tex]..[2]
Dividing [1] by [2]:
[tex]\frac{S}{V}=\frac{4\pi (77 pm)^2}{\frac{4}{3}\pi (77 pm)^3}[/tex]
[tex]=\frac{3}{77}[/tex]
The surface-to-volume ratio of a C-60 fullerene is 3:77.