00:01
Okay, so this is something that is actually pertinent to a lot of things.
00:05
It talks about the volume of a sphere being directly related to the cube of r.
00:10
So the first thing i want to talk about is the volume of a sphere, right? for anyone that doesn't know that, it's probably one of the formulas you should memorize.
00:18
You're probably going to have to learn it and test on it.
00:21
But it's four -thirds pi -r cubed, right? now, is that necessary for this problem? not necessarily because since it varies directly, that's going to be in the form y equals kx, right? so even if we use that, we'd say volume is equal to k, and instead of using x, we'd use cube of r.
00:42
And that's r cubed.
00:43
Notice, k is that constant.
00:47
Four -thirds, pi is also a constant.
00:50
And so you end up with the exact same thing.
00:52
So for the sake of it, i'll use the simple one of kr -cubed.
00:56
But no, it's the exact same formula that you can like google, and it tells you four thirds pi or cubed.
01:02
It's just the four thirds of the pie is that constant k, which is not important for what we're doing in this problem...