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Okay sy mash members More modeling here A cylindrical can

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of paint fits snugly on all sides inside a box

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What's the ratio of the cylinders Volume to the boxes

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Volume Say the cylinder has a radius of are in

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the height of age the volume of the cylinder Then

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according to formulas pi r squared age right that's just

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the formula You have to know it since a cylinder

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fits snugly against the box on all sides will the

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box has the same width and height There's a cylinder

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just a different area formula the boxes based then measures

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to our across each way So it looked like that

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to our is the diameter of the cylinders Well the

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boxes h units tall Well the volume of the box

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is to our times to our times a door for

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r squared h now take the ratio of the two

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volumes That ratio is just another word for a fraction

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so make a fraction out of the volumes We've got

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the volume of the cylinder over the volume of the

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box just fire squared H over four r squared age

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well r squared in h cancel out leaving us with

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a ratio of pi over four that's it The answer 00:01:04.56 --> [endTime] is a were shmoop

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