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13 October, 06:44

An icicle it's in the shape of an inverted cone with a diameter of 12 m m and a height of 100 mm. How much Frozen water is in the icicle? Round to the nearest hundredth.

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  1. 13 October, 07:01
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    3768 mm ^ 3

    Step-by-step explanation:

    We have that the volume of a cone is given by:

    V = 1/3 * Ac * h

    Where Ac is the area of the circle, we know that the radius is half the diameter then:

    r = d / 2

    r = 12/2

    r = 6

    And Ac is equal to:

    Ac = pi * r ^ 2

    replacing:

    Ac = 3.14 * 6 ^ 2

    Ac = 113.04

    113.04 mm ^ 2 is the area of the circle, replacing the volume form knowing that h = 100

    V = 1/3 * 113.04 * 100

    V = 3768

    Therefore they fit a total of 3768 mm ^ 3
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