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30 April, 06:02

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for. Round your answer to the nearest hundredth.

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  1. 30 April, 09:12
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    volume ≈ 572.27 mm³

    Step-by-step explanation:

    The icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. To find how much in cubic millimetres the frozen water is in the icicle can be calculated below.

    In other words the question want us to find the volume of the cylinder. The volume of the cone can be represented as follows:

    volume of a cylinder = 1/3πr²h

    where

    r = radius

    h = height

    diameter = 9 mm

    height = 27 mm

    r = diameter/2 = 9/2 = 4.5

    volume = πr²h

    volume = 1/3 * 3.14 * 4.5² * 27

    volume = 1/3 * 3.14 * 20.25 * 27

    volume = 1/3 * 63.585 * 27

    volume = 1716.795/3

    volume = 572.265 mm³

    volume ≈ 572.27 mm³
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