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

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53
Mar 24, 2016

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 $c {m}^{2}$ whereas for volume they would be $c {m}^{3}$.

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