gcse maths problem-help pwease :)

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  1. waqarasim's Avatar
    • Full Member
    • Posts: 92
    gcse maths problem-help pwease :)
    hello tsr,
    in this past paper there are only 2 questions which i dont understand, can anyone help please?

    they are all of qestion 25 and 26b. ive seen the mark scheme and its doesnt really help me understand so i was hoping someone could go through it for me?
    thanks

    http://www.edexcel.com/migrationdocu...e_20110606.pdf
  2. notnek's Avatar
    • TSR Demigod
    • Location: Bangkok, Thailand
    Re: gcse maths problem-help pwease :)
    25. The curved surface area of a cone is \pi r l where r is the radius and l is the slanted height. So the total surface area is this plus the area of the circular base. So we have

    SA_{cone} = \pi x l + \pi x^2


    The surface area of a sphere is 4\pi r^2 so the surface area of a hemisphere is half of this plus the area of the circular base:

    SA_{hemisphere} = 2\pi x^2 + \pi x^2


    The question says that the two surface areas are equal so you can equate the two SA expressions above. Then cancel and rearrange to find l in terms of x.

    Finally, use Pythagoras to find l in terms of x and h then rearrange.
  3. notnek's Avatar
    • TSR Demigod
    • Location: Bangkok, Thailand
    Re: gcse maths problem-help pwease :)
    26b. P lies on AB with a distance ratio of 2:3 so AP=\frac{2}{5} AB.

    Does this help? If you're still stuck, post any ideas/working that you have.
  4. waqarasim's Avatar
    • Full Member
    • Posts: 92
    Re: gcse maths problem-help pwease :)
    thanks so much
    why use pythagoras in 25? thats for triangles
  5. notnek's Avatar
    • TSR Demigod
    • Location: Bangkok, Thailand
    Re: gcse maths problem-help pwease :)
    (Original post by waqarasim)
    thanks so much
    why use pythagoras in 25? thats for triangles
    The shape in the cone made using the lines x, h and l is a right-angled triangle since the height is perpendicular to the base.
  6. waqarasim's Avatar
    • Full Member
    • Posts: 92
    Re: gcse maths problem-help pwease :)
    Ok thanks
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