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7 March, 15:45

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 cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height

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  1. 7 March, 17:52
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    1.2 in3

    Step-by-step explanation:

    The volume of a cone is given by the following formula:

    Volume = (1/3) * pi * r^2 * h

    Where r is the base radius and h is the height.

    So, if the full cone height is 4 inches and the diameter is 3 inches (that is, the radius is 3/2 = 1.5 inches), we have that half of the cone's height is 2 inches, and the diameter will be 1.5 inches (so the radius is 0.75 inches). Then, the volume of half the cup is:

    Volume = (1/3) * pi * 0.75^2 * 2 = 1.1781 in3

    Rounding to nearest tenth, the volume is 1.2 in3
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