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A cylinder shown below has a volume of 300 pi cubic inches. What is its height?
The volume of a cylinder depends on both the cylinder's height and its radius. There are an infinite number of different cylinders, all with different dimensions, that all have 300π inches³ of volume. In order to calculate either dimension of a cylinder, both the volume and the other dimension must be known.
We sense a high probability that the picture described as "shown below" tells the cylinder's radius. Sadly, we have not been made privy to that bit of information, leaving us out in the cold with no way to calculate the cylinder's height.
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