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3 January, 08:43

The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their labels?

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  1. 3 January, 08:47
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    Area of the label is calculated as diameter*PI*height

    So if height of tomato can is 3 times the can of tuna: hTOM=3*hTUNA

    Diameter of a tomato can is three times smaller so: dTOM=dTUNA:3

    so Area of a tomato can label = A = (dTUNA:3) * PI*3*hTUNA

    A=dTUNA*PI*hTUNA

    and the area of a tuna can label=

    A=dTUNA*PI*hTUNA

    So, the label areas are the same.
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