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Rapper

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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

     

    H=-4R/(-4R+3)

     

    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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