00:01
So what i would do to show that this is true is give a height, which they want capital h, and a radius, which they want capital r.
00:11
And what you can see there is we have a linear function.
00:14
And i would use y equals mx plus b, because i think it's pretty clear from this that your y intercept is h.
00:22
And your slope is down h right, r.
00:26
So your slope would be negative h over r, x.
00:29
So then how do the shells come into play? i'm going to rotate the cone this way around the y -axis, and the shell method uses the equation 2 pi -r -h.
00:44
And so as i do this volume, i like to move that 2 -pi in front.
00:49
The integral is going to be from 0 to r, because these are my x values.
00:55
Zero to r.
00:57
I actually drew the wrong cylinder...