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Is it because lower radius and lesser mass means lesser gravity and lesser gravity can pull lesser matter towards the core?

- Thread starter avito009
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- #1

- 184

- 4

Is it because lower radius and lesser mass means lesser gravity and lesser gravity can pull lesser matter towards the core?

- #2

ShayanJ

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Doubling all dimensions means 8x the volume and mass. Halving all the dimensions means 1/8 the volume and mass.

Looking at these cubes in the image link should explain it very intuitively. If there are 2 cubes per side there are a total of 8 cubes. If there are 4 cubes per side, there are a total of 64 cubes.

Area is x*y so it's squared. Volume is x*y*z so it's cubed. Therefore a 2x increase in dimensions means 2*2=4 increase in area and 2*2*2=8 increase in volume (and therefore mass).

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