00:01
In this problem, we're going to be comparing two different volumes of the same cylinder when a radius is tripled.
00:10
Now, to begin, i drew the original cylinder, which was given the variables four inches as its height and three inches as its radius.
00:20
So our first step is going to be to find the volume of the original cylinder.
00:25
We're using the equation volume equals pi times r squared times height.
00:30
We're going to replace these variables with the numbers we were given to make it volume equals pi times three inches squared times the height of four inches squared.
00:43
When doing three squared, we're going to get nine, and then nine times four is going to give us 36 pi.
00:55
Now we have inches squared times inches, which is going to give us inches cubed.
01:00
So that's our volume for the original cylinder.
01:04
Now the problem is asking us what the new volume would be compared to the original volume if the radius is tripled...