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11 January, 00:09

Cone A has a radius of 12 inches and cone b has a radius of 30 inches. if the cones are similar and the volume of cone a is 48 ft3, then find the volume of cone b

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  1. 11 January, 03:10
    0
    750ft^3

    Step-by-step explanation:

    Given:

    Volume of cone a=48ft^3

    Radius of a=12 inches

    Radius of b=30 inches

    Volume of cone b=?

    The linear state factor=ratio of the radio

    =30/12

    =2.5

    Volume scale factors=linear state factor^3

    =2.5^3

    =15.625

    Volume of Cone B = volume of Cone A * volume scale factor

    =48 * 15.625

    = 750 ft^3
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