How do you calculate surface area to volume ratio of a cylinder?

Here are the formulas you'll need:

Surface area: ##2πrh+2πr^2##

Volume: ##πr^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: ##2π(3)(6)+2π(3)^2##, which will give you ##54π##.

For volume, you would calculate: ##π(3)^2(6)##, which would give you ##54π## 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: