You can fill it with a finite amount of paint, but it's insufficient to paint the inside.
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What's the explanation here - surely it cannot be correct?
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Volume of a cylinder = half the curved surface area x radius. As the radius of this shape contracts, the additional volume shrinks much faster than the additional surface area, because of this "x radius". The volume can total to a finite answer while the surface area does not.
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Fractal Geometry will often have similar examples. The Koch Snowflake has finite volume but infinite perimeter. It’s why Measure Theory is a must for this field to help analyze these objects:)
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"Every physicist knows that the logarithm of infinity is a finite number"
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what am i missing? it has finite volume and infinite surface area? how can a finite object not be finite?
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It’s not a finite object. It’s infinitely long but decreases in such a way that the surface area is bounded while the volume is not.
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