How does the volume of a cone compare to the volume of a cylinder with the same radius and height?

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19-10-2017
Mathematics

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How does the volume of a cone compare to the volume of a cylinder with the same radius and height?

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andriansp andriansp · Answer 1 · 2017-10-19T19:00:19+02:00

To answer this question, you need to know the formula for calculating the volume of cone and cylinder. The formula should look like this:

cone volume: π * r^2 * h/3
cylinder volume: π * r^2 * h

Now if you compare both of them with information that the radius and height is same, then the cone:cylinder volume ratio would be:

Cone volume/cylinder volume=
π * r^2 * h/3 / π * r^2 * h= 1/3

Cone volume is 1/3 of cylinder volume