Math

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The shorter edges of a 44cm x 25cm metal sheet are joined to form the curve surface of a cylinder. What is the volume of the cylinder? What is the area of metal sheet required to make the top and the bottom cylinder?

  • Math -

    h = 25
    2 pi r = 44
    so r = 22/pi

    pi r^2 h = V = pi (22/pi)^2 (25)

    area top = pi r^2
    area bottom = pi r^2
    so
    area needed = 2 pi r^2 = 2 pi (22/pi)^2

    Now of course sheets of metal usually come rectangular, not circular, so in real life some will get wasted.

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