Geometry

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THE VOLUME OF AN OBLIQUE CONE WITH EQUAL DIAMETER AND HEIGHT IS 18*3.14CM^3. FIND THE HEIGHT AND RADIUS (TO THE NEAREST CM).
PLEASE HELP THIS IS MY LAST TEST AND I GRADUATE!!! THANKS SO MUCH!!

  • Geometry -

    the volume of a cone , regular or oblique,
    = (1/3)πr^2 h
    if h = 2r

    V = (1/3) π r^2 (2r) = (2/3)π r^3

    but (2/3)π r^3 = 18π , (I assumed your 3.14 was supposed to be π )

    (2/3) r^3 = 18
    2r^3 = 48
    r^3 = 24
    r = 24^(1/3) = appr 2.885 cm
    or 3 cm to the nearest cm

    neat little applet here for an oblique cone
    http://www.mathopenref.com/coneoblique.html

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