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7 July, 12:25

Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 400.0 g of coffee when filled to a depth of 6.00 cm? Assume coffee has the same density of water. Answer in cm.

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  1. 7 July, 15:57
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    Coffee mug is cylindrical shape. Therefore,

    Volume of mug = volume of cylinder = πr²h

    r = inner radius of mug. h = height of coffee = 6 cm.

    Density of coffee = Density of water = 1 g/ml

    Therefore, volume of coffee = mass/density = 400/1 = 400 ml = 400 cm³

    Volume of coffee = πr²h

    400 = πr² (6)

    r² = 21.23

    r = inner radius of mug = 4.607 cm
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