Here are the formulas you’ll need:
Surface area: ##2rh+2r^2##
Volume: ##r^2h##
r is the radius of the cylinder and h is its height.
So for example let’s say you had a cylinder that had a radius of 3 cm and a height of 6 cm. For surface area you would calculate:
##2(3)(6)+2(3)^2## which will give you ##54##.
For volume you would calculate:
##(3)^2(6)## which would give you ##54## as well.
Then you divide the surface area/volume which here is simply 1.
One note is that the units for surface area would be ##cm^2## whereas for volume they would be ##cm^3##.
Helpful image:
