00:01
If the size of a cellar decreases, how does its ratio of surface area to volume change? does it a increase, the decrease, or c stay the same? so we have surface area to volume, surface area to volume.
00:21
And you can do this by just imagining two spheres, maybe imagine, say, a baseball and a basketball, and think, how does the surface area compare? to the volume.
00:33
And you'll see the baseball has a much higher surface area compared to volume.
00:38
Or alternatively, we could look at it mathematically and compare the formula for the surface area of a sphere to the volume of a sphere.
00:48
So the volume of a sphere is, the surface area is 4 pi r squared, and the volume of the sphere is 4 pi are cubed.
01:11
4 over 3 pi are cubed.
01:13
4 of 3 pi are cubed...