algebra

volume of cone varies jointly as square of its radius and its height if volume of a cone is 27pie cubic inches when radius is 3 inches and height is 9 inches find volume of a cone when radius is 4 inches and height is 3 inches

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  1. According to the statement
    V = k r^2 h , (we all know that k = (1/3)π )

    when V = 27π, r = 3 and h = 9

    27π = k(9)(9)
    k = 27π/81 = (1/3)π , (see, I told you)

    V = (1/3)π r^2 h
    when r = 4, h = 3

    V = (1/3)π (16)(3) = 16π cubic inches.

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