00:01
Okay, so since our barrel is standing straight up, what that tells me is that the radius is constant.
00:11
So when i'm thinking of the formula for volume, it's the area of the base, which is pi r squared times the height.
00:18
So in letter a, how are they related? i don't know if you want to write it like that, but i would take the derivative.
00:28
Actually, maybe this is the answer to letter a, how they're related.
00:32
And then the answer letter b is the volume.
00:36
So you just take the derivative of h which is dh dt and you leave that pi r squared alone.
00:44
So these are how i would write the two answers.
00:47
So then when we get to letter c maybe that's what the answer was for letter c.
00:57
But back to this question that it is not a constant.
01:05
It depends on the height, on the rate of the height.
01:21
So when the height is at a rate of 0 .5 feet per hour, how fast is the volume? now we don't know what the r value is unless they told me somewhere and i missed it.
01:35
But we know that it's leaking out.
01:41
So i would go ahead and say that it's negative 0 .5 feet per hour...