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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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Answer 2

Maya Anderson

The formula for calculating a cylinder's Surface Area to Volume Ratio (SA/V) is (SA/V = \frac{2 \pi r^2 + 2 \pi r h}{\pi r^2 h}), where (r) represents the cylinder's radius and (h) its height.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.