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5 November, 05:28

2. A cone has volume 12r cubic inches, Its height is 4 inches, What is its radius?

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  1. 5 November, 05:50
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    r - 1.69 inches

    Step-by-step explanation:

    Volume of a cone is

    V = πr^2h/3

    V - volume of the cone

    π - 3.142

    h - height of the cone

    r - radius of the cone

    We are provided with the values of

    V - 12

    π - 3.142

    h - 4

    r - ?

    Insert the above values into the formula

    V = πr^2h/3

    12 = 3.142 * r^2 * 4/3

    12 = 3.142 * 1.33 * r^2

    12 = 4.189r^2

    Divide both sides by 4.189

    12 / 4.189 = 4.189r^2 / 4.189

    2.865 = r^2

    r = square root of 2.865

    r = 1.6925 inches

    r = 1.69 inches
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