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Math Help - Volume of Cone

  1. #1
    Hannibal
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    Volume of Cone

    I've got the formula, (1/3BH), the slant height (16), and the measure of the vertex angle.(40 deg.) I need to find the true height and the radius/diameter, but I can't seem to figure out how. Trig functions would work, but there is only one length given. However, the other two angles of the triangle are 20 and 70, with a right angle as well.
    Thanks.
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  2. #2
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    Hannibal as in Hannibal Leckter or Hannibal Barca?

    Since the vertex angle is 40 when you draw a triangle you get 20.

    The hypotenuse is 16.

    Thus,

    r (radius) = 16*cos 70

    h (height) = 16*sin 70

    Since you know the height and radius you can find everything you need by using the appropriate formula.
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