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

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

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Answer 1 · 2014-08-10T04:50:22

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

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