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15 March, 16:15

The volume of a cone is 31.5 inches cubed and the radius is 3 inches what is the height of the cone

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  1. 15 March, 16:25
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    Volume of a cone: (1/3) πr²h

    dа ta:

    V=31.5 in³,

    r=3 in

    Then:

    V = (1/3) πr²h

    31.5 in³ = (1/3) π (3 in) ²h

    (1/3) π (3 in) ²h=31.5 in ³

    (1/3) π (9 in²) h=31.5 in³

    3πin² h=31.5 in³

    h = (31.5 in³) / (3π in²)

    h≈3.34 in

    answer: the height of the cone is 3.34 in.
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