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Math Help - Find Volume of Cone (Radius Not Given)

  1. #1
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    Find Volume of Cone (Radius Not Given)

    A cone of height 24cm has a curved surface area 550 cm2 . Find its volume.
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  2. #2
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    volume of cone

    Hello fdrhs 1984,
    Lateral area of cone =pi rL where L=slant height =550 sq cm
    L= 550/pi r L^2 = 550^2/pi^2r^2
    Draw the cross section of the cone altitude 24 cm base 2r slant height L
    L^2= 24^2 +r^2 Equate the two 24^2 + r^2 =550^2 /pi^2 r^2
    Set up a quadratic equation by letting x = r^2
    Solve for x r is then sqrt of x.
    I know the result for r. Volume is then easily calculated.Work it out.


    bjh
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