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Posts posted by Rapper

  1. A cylinder with radius r=0.75 m and height h = 1 m has to be covered by a cone. Find the minimal area for the cone.


    Surface Area of Cone: pi*r^2 + pi*r*L


    So, I figured out:


    H= Height of the cone


    R= Radius of the cone


    (H-1)/0.75 = H/R




    To calculate L, I used the Pythagoras & substituted H from above:


    L = sqrt(R^2+H^2)


    L = sqrt(R^2+(-4R/(-4R+3))


    L = (sqrt(16R^4-24R^3+25R^2)/(4R-3)


    I see I'm heading towards something really complicated...


    Could you please help me find the right way to do it? I have just started doing this.

  2. Give an explicit form each of the terms:


    a(1) = 1

    a(2) = 3

    a(n+1) = [a(n) + a(n+1)]/2


    I just started with this topic. How can I calculate what a(n) is?

    Should I replace a(n) by 1 and a(n+1) by 3 and divide the result by 2? Would that give me de?

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