Question

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

Answer 1

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`.

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