Geometry

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The volume of an oblique cone with equal diameter and height is 18pi cm^3. Find the height and radius(to the nearest cm).

  • Geometry -

    recall that the volume of an oblique cone is given by
    V = (1/3)*(πr^2)*h
    where
    r = radius of circle (the base)
    h = height
    since diameter is equal to the height, we can say that
    h = d = 2r
    substituting,
    V = (1/3)π(r^2)(2r)
    18π = (2/3)π(r^3)
    18*(3/2) = r^3
    27 = r^3
    r = 3 cm
    h = 6 cm

    hope this helps~ :)

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