00:01
In this question we are given that a green silo is 50 feet high and the diameter is 20 feet.
00:10
And you're told that if you were to triple the radius of the silo, what would happen to the volume? now, the tripling the radius of the silo in this case would mean that instead of, let me just draw two diagrams, let's see this is the first silo which is a cylinder.
00:38
This is another silo.
00:40
We make it a bit wider.
00:45
And now that's what we have.
00:49
So this is one unit of the radius and that's called it r.
00:54
And this is three times the radius.
00:57
So that's when we triple the radius.
01:01
So when we triple the radius and in finding the volume the radius is going to be a squared.
01:12
So what happens to the radius? instead of it being r squared, it's the pi r squared it's going to be pi times nine squared.
01:28
That's the area of the base.
01:30
So the area of the base is initially pi r squared.
01:33
Now it's going to be pi um times, yeah, pi r squared times nine.
01:43
So the volume would be multiplied by 9...