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Math Help - Problem

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    4

    Problem

    A closed cylinder has a total surface area equal to 600\pi. Show that the volume,  V cm^3, of this cylinder is given by the formula V = 300\pi r - \pi r^3, where r cm is the radius of the cylinder.


    I only managed to get V = 300\pi r. Where have I gone wrong?

    Thanks in advanced.
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  2. #2
    Member
    Joined
    Aug 2007
    Posts
    239
     2 \pi r^2 + 2 \pi rh = 600 \pi

     r^2 + rh = 300

     V = \pi r^{2} h

     \pi r(r^2 + rh) = 300 \pi r

     \pi r^{2}h = 300 \pi r - \pi r^3
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