• TheCriticalMember@aussie.zoneEnglish
    27·
    4 days ago

    For a tapered section like that, you could estimate bottom and top layers and then average them. Then estimate height and multiply. You’d want to include an overlap factor as the roughly spherical nuts would settle in between each other somewhat. I’d imagine there’s some accepted value out there for that.

    • CmdrShepard49@sh.itjust.works
      10·
      4 days ago

      This is what I did. Roughly 5 wide at the bottom and 7 wide at the top or roughly 12 nuts per layer average. Then the stack appears to be about 12 nuts high so 144 total and maybe round up to 150 since it’s heaping at the top.

      Edit: I didn’t initially see OP’s link to the site and I call complete bullshit on that ‘correct’ answer without seeing them poured out and counted on video. According to it, my answer is off by several hundred.

        • CmdrShepard49@sh.itjust.works
          5·
          4 days ago

          Only when it jives with a sensible guesstimation.

          Without outright spoiling the answer, according to the site, roughly every visible hazelnut in the image makes up just 16% of the total. If my guess of 12 layers is roughly accurate, every visible hazelnut only makes up two layers of the total which doesnt seem correct.

          Considering this is a user submitted puzzle with zero verification (as far as I know), the simplest answer is that they gave a fake/incorrect number.

      • brian@lemmy.ca
        4·
        4 days ago

        Not sure where you’d land at 12 nuts per layer on average. If you go off 5 nuts “wide” as your diameter you’d end up with at least 20 nuts at the bottom layer (area = π(5/2)² = 19.6).

        • CmdrShepard49@sh.itjust.works
          1·
          4 days ago

          I did 5 wide at the bottom and 7 wide at the top. 5x2 and 7x2 =24/2 (average) = 12 per layer. I now see how this isnt exactly correct as it’s a circle but the ‘proper’ answer puts it at 36 per layer which doesnt seem correct either.

          • brian@lemmy.ca
            1·
            3 days ago

            Ah, but you’re calculating the area, so it would be length * width, not just multiplying by 2.

            So you’re looking at 25 at the bottom and 49 at the top, making your average 37 per layer.