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14 November, 10:23

Order the cones from least volume to greatest volume

Cone A r=5 inches h=6 inches

Cone B r = 7 inches h=4 inches

Cone C r=6 inches h=5 inches

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  1. 14 November, 12:37
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    Cone A, Cone C, Cone B

    Step-by-step explanation:

    The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.

    That means the volume of cone A would be:

    V = π * 5^2 * 6/3

    V = π * 25 * 2

    V = 50π

    And the volume of Cone B would be:

    V = π * 7^2 * 4/3

    V = π * 49 * 4/3

    V = 65.33π (about)

    Lastly, the volume of Cone C would be:

    V = π * 6^2 * 5/3

    V = π * 36 * 5/3

    V = 60π

    65.33π > 60π > 50π

    Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.
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