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7 August, 00:26

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

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  1. 7 August, 02:38
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    The diameter of half the cone is equal to half of the given diameter and its height is also half the given height.

    V = 1/3 (πr²) (h)

    d = 1.5 inches, r = 0.75 inches

    h = 2 inches

    Substituting,

    V = 1/3 (π) (0.75 in) ² (2 in)

    V = 1.178 in³
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