I also guessed the ratio of the spheres was between 2 and 3 (and clearly larger than 2) by imagining their weight.
I was following along with the post about how we mostly think in terms of surfaces until the orange example. Having peeled many oranges and separated them into sections, they are easy for me to imagine in 3D, and I have only a weak “mind’s eye” and moderate 3D spatial reasoning ability.
I find your first point particularly interesting—I always thought that weights are quite hard to estimate and intuit. I mean of course it’s quite doable to roughly assess whether one would be able to, say, carry an object or not. But when somebody shows me a random object and I’m supposed to guess the weight, I’m easily off by a factor of 2+, which is much different from e.g. distances (and rather in line with areas and volumes).
I also guessed the ratio of the spheres was between 2 and 3 (and clearly larger than 2) by imagining their weight.
I was following along with the post about how we mostly think in terms of surfaces until the orange example. Having peeled many oranges and separated them into sections, they are easy for me to imagine in 3D, and I have only a weak “mind’s eye” and moderate 3D spatial reasoning ability.
I find your first point particularly interesting—I always thought that weights are quite hard to estimate and intuit. I mean of course it’s quite doable to roughly assess whether one would be able to, say, carry an object or not. But when somebody shows me a random object and I’m supposed to guess the weight, I’m easily off by a factor of 2+, which is much different from e.g. distances (and rather in line with areas and volumes).