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3 August, 16:05

N. a. Alexander was drinking orange juice from a glass right cylinder. The cylinder has a diameter of 16 cm and the orange juice reaches a height of 12 cm as shown in the figure below. While ms. Alexander was drinking the juice her 6 year old niece dropped a marbpe, with a radius of 4 cm, into the glass and then laughed. TO the nearest tenth of a centimeter, how much did the orange juice level rise after the marble was dropped in the cylinder?

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  1. 3 August, 16:20
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    1.33 cm

    Step-by-step explanation:

    Volume of the marble:

    (4/3) * 3.14*4³

    = 267.9466667 cm³

    Effect on the glass:

    Radius = 16/2 = 8

    267.9466667 = 3.14 * 8² * h

    h = 4/3 or 1.33 cm

    The height increases by 1⅓ cm or 1.33 cm

    New height is 13.33 cm
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